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Finding the Fourth Proportional to 558.47, 837.13 and 284.41

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Solution

The fourth proportional to 558.47, 837.13 and 284.41 is: 426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.47 : 837.13 = 284.41 : x
  2. Step 2: Convert to fraction form
    558.47/837.13 = 284.41/x
  3. Step 3: Cross multiply
    558.47x = 837.13 × 284.41
  4. Step 4: Simplify right side
    558.47x = 238,088.14
  5. Step 5: Solve for x
    x = 238,088.14/558.47
  6. Step 6: Final answer
    x = 426.32

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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.