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Finding the Fourth Proportional to 653.70, 902.35 and 432.73

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Solution

The fourth proportional to 653.70, 902.35 and 432.73 is: 597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.70 : 902.35 = 432.73 : x
  2. Step 2: Convert to fraction form
    653.70/902.35 = 432.73/x
  3. Step 3: Cross multiply
    653.70x = 902.35 × 432.73
  4. Step 4: Simplify right side
    653.70x = 390,468.07
  5. Step 5: Solve for x
    x = 390,468.07/653.70
  6. Step 6: Final answer
    x = 597.32

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Double scale
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1.5x scale

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.