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Finding the Fourth Proportional to 374.34, 560.99 and 282.92

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Solution

The fourth proportional to 374.34, 560.99 and 282.92 is: 423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.34 : 560.99 = 282.92 : x
  2. Step 2: Convert to fraction form
    374.34/560.99 = 282.92/x
  3. Step 3: Cross multiply
    374.34x = 560.99 × 282.92
  4. Step 4: Simplify right side
    374.34x = 158,715.29
  5. Step 5: Solve for x
    x = 158,715.29/374.34
  6. Step 6: Final answer
    x = 423.99

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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.