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Finding the Fourth Proportional to 653.71, 902.63 and 432.97

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Solution

The fourth proportional to 653.71, 902.63 and 432.97 is: 597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.71 : 902.63 = 432.97 : x
  2. Step 2: Convert to fraction form
    653.71/902.63 = 432.97/x
  3. Step 3: Cross multiply
    653.71x = 902.63 × 432.97
  4. Step 4: Simplify right side
    653.71x = 390,811.71
  5. Step 5: Solve for x
    x = 390,811.71/653.71
  6. Step 6: Final answer
    x = 597.84

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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.