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Finding the Fourth Proportional to 654.32, 902.40 and 506.48

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Solution

The fourth proportional to 654.32, 902.40 and 506.48 is: 698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 902.40 = 506.48 : x
  2. Step 2: Convert to fraction form
    654.32/902.40 = 506.48/x
  3. Step 3: Cross multiply
    654.32x = 902.40 × 506.48
  4. Step 4: Simplify right side
    654.32x = 457,047.55
  5. Step 5: Solve for x
    x = 457,047.55/654.32
  6. Step 6: Final answer
    x = 698.51

Related Problems

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.