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Finding the Fourth Proportional to 590.29, 885.78 and 545.20

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Solution

The fourth proportional to 590.29, 885.78 and 545.20 is: 818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.29 : 885.78 = 545.20 : x
  2. Step 2: Convert to fraction form
    590.29/885.78 = 545.20/x
  3. Step 3: Cross multiply
    590.29x = 885.78 × 545.20
  4. Step 4: Simplify right side
    590.29x = 482,927.26
  5. Step 5: Solve for x
    x = 482,927.26/590.29
  6. Step 6: Final answer
    x = 818.12

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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.