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Finding the Fourth Proportional to 652.59, 978.20 and 421.13

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Solution

The fourth proportional to 652.59, 978.20 and 421.13 is: 631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.59 : 978.20 = 421.13 : x
  2. Step 2: Convert to fraction form
    652.59/978.20 = 421.13/x
  3. Step 3: Cross multiply
    652.59x = 978.20 × 421.13
  4. Step 4: Simplify right side
    652.59x = 411,942.37
  5. Step 5: Solve for x
    x = 411,942.37/652.59
  6. Step 6: Final answer
    x = 631.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.