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Finding the Fourth Proportional to 929.29, 1,393.67 and 374

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Solution

The fourth proportional to 929.29, 1,393.67 and 374 is: 560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.29 : 1,393.67 = 374 : x
  2. Step 2: Convert to fraction form
    929.29/1,393.67 = 374/x
  3. Step 3: Cross multiply
    929.29x = 1,393.67 × 374
  4. Step 4: Simplify right side
    929.29x = 521,232.58
  5. Step 5: Solve for x
    x = 521,232.58/929.29
  6. Step 6: Final answer
    x = 560.89

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