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Finding the Fourth Proportional to 653.42, 901.86 and 432.74

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Solution

The fourth proportional to 653.42, 901.86 and 432.74 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.42 : 901.86 = 432.74 : x
  2. Step 2: Convert to fraction form
    653.42/901.86 = 432.74/x
  3. Step 3: Cross multiply
    653.42x = 901.86 × 432.74
  4. Step 4: Simplify right side
    653.42x = 390,270.90
  5. Step 5: Solve for x
    x = 390,270.90/653.42
  6. Step 6: Final answer
    x = 597.27

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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.