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Finding the Fourth Proportional to 586.92, 880.10 and 309.36

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Solution

The fourth proportional to 586.92, 880.10 and 309.36 is: 463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.92 : 880.10 = 309.36 : x
  2. Step 2: Convert to fraction form
    586.92/880.10 = 309.36/x
  3. Step 3: Cross multiply
    586.92x = 880.10 × 309.36
  4. Step 4: Simplify right side
    586.92x = 272,267.74
  5. Step 5: Solve for x
    x = 272,267.74/586.92
  6. Step 6: Final answer
    x = 463.89

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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.