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Finding the Fourth Proportional to 669.98, 1,005.13 and 237.14

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Solution

The fourth proportional to 669.98, 1,005.13 and 237.14 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.98 : 1,005.13 = 237.14 : x
  2. Step 2: Convert to fraction form
    669.98/1,005.13 = 237.14/x
  3. Step 3: Cross multiply
    669.98x = 1,005.13 × 237.14
  4. Step 4: Simplify right side
    669.98x = 238,356.53
  5. Step 5: Solve for x
    x = 238,356.53/669.98
  6. Step 6: Final answer
    x = 355.77

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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.