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Finding the Fourth Proportional to 653.60, 901.46 and 432.47

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Solution

The fourth proportional to 653.60, 901.46 and 432.47 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 901.46 = 432.47 : x
  2. Step 2: Convert to fraction form
    653.60/901.46 = 432.47/x
  3. Step 3: Cross multiply
    653.60x = 901.46 × 432.47
  4. Step 4: Simplify right side
    653.60x = 389,847.74
  5. Step 5: Solve for x
    x = 389,847.74/653.60
  6. Step 6: Final answer
    x = 596.47

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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.