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Finding the Fourth Proportional to 653.60, 901.16 and 432.16

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Solution

The fourth proportional to 653.60, 901.16 and 432.16 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 901.16 = 432.16 : x
  2. Step 2: Convert to fraction form
    653.60/901.16 = 432.16/x
  3. Step 3: Cross multiply
    653.60x = 901.16 × 432.16
  4. Step 4: Simplify right side
    653.60x = 389,445.31
  5. Step 5: Solve for x
    x = 389,445.31/653.60
  6. Step 6: Final answer
    x = 595.85

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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.