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Finding the Fourth Proportional to 654.93, 904.14 and 434.25

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Solution

The fourth proportional to 654.93, 904.14 and 434.25 is: 599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 904.14 = 434.25 : x
  2. Step 2: Convert to fraction form
    654.93/904.14 = 434.25/x
  3. Step 3: Cross multiply
    654.93x = 904.14 × 434.25
  4. Step 4: Simplify right side
    654.93x = 392,622.80
  5. Step 5: Solve for x
    x = 392,622.80/654.93
  6. Step 6: Final answer
    x = 599.49

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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.