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Finding the Fourth Proportional to 588.23, 878.06 and 545.40

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Solution

The fourth proportional to 588.23, 878.06 and 545.40 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.23 : 878.06 = 545.40 : x
  2. Step 2: Convert to fraction form
    588.23/878.06 = 545.40/x
  3. Step 3: Cross multiply
    588.23x = 878.06 × 545.40
  4. Step 4: Simplify right side
    588.23x = 478,893.92
  5. Step 5: Solve for x
    x = 478,893.92/588.23
  6. Step 6: Final answer
    x = 814.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.