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Finding the Fourth Proportional to 652.17, 976.50 and 390.94

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Solution

The fourth proportional to 652.17, 976.50 and 390.94 is: 585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.17 : 976.50 = 390.94 : x
  2. Step 2: Convert to fraction form
    652.17/976.50 = 390.94/x
  3. Step 3: Cross multiply
    652.17x = 976.50 × 390.94
  4. Step 4: Simplify right side
    652.17x = 381,752.91
  5. Step 5: Solve for x
    x = 381,752.91/652.17
  6. Step 6: Final answer
    x = 585.36

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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.