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Finding the Fourth Proportional to 652.32, 978.45 and 395.28

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Solution

The fourth proportional to 652.32, 978.45 and 395.28 is: 592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 978.45 = 395.28 : x
  2. Step 2: Convert to fraction form
    652.32/978.45 = 395.28/x
  3. Step 3: Cross multiply
    652.32x = 978.45 × 395.28
  4. Step 4: Simplify right side
    652.32x = 386,761.72
  5. Step 5: Solve for x
    x = 386,761.72/652.32
  6. Step 6: Final answer
    x = 592.90

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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.