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Finding the Fourth Proportional to 653.04, 900.72 and 432.18

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Solution

The fourth proportional to 653.04, 900.72 and 432.18 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 900.72 = 432.18 : x
  2. Step 2: Convert to fraction form
    653.04/900.72 = 432.18/x
  3. Step 3: Cross multiply
    653.04x = 900.72 × 432.18
  4. Step 4: Simplify right side
    653.04x = 389,273.17
  5. Step 5: Solve for x
    x = 389,273.17/653.04
  6. Step 6: Final answer
    x = 596.09

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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.