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Finding the Fourth Proportional to 653.65, 902.46 and 432.90

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Solution

The fourth proportional to 653.65, 902.46 and 432.90 is: 597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.65 : 902.46 = 432.90 : x
  2. Step 2: Convert to fraction form
    653.65/902.46 = 432.90/x
  3. Step 3: Cross multiply
    653.65x = 902.46 × 432.90
  4. Step 4: Simplify right side
    653.65x = 390,674.93
  5. Step 5: Solve for x
    x = 390,674.93/653.65
  6. Step 6: Final answer
    x = 597.68

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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.