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Finding the Fourth Proportional to 586.62, 880.65 and 371.10

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Solution

The fourth proportional to 586.62, 880.65 and 371.10 is: 557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 880.65 = 371.10 : x
  2. Step 2: Convert to fraction form
    586.62/880.65 = 371.10/x
  3. Step 3: Cross multiply
    586.62x = 880.65 × 371.10
  4. Step 4: Simplify right side
    586.62x = 326,809.22
  5. Step 5: Solve for x
    x = 326,809.22/586.62
  6. Step 6: Final answer
    x = 557.11

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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.