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Finding the Fourth Proportional to 586.46, 880.14 and 312.62

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Solution

The fourth proportional to 586.46, 880.14 and 312.62 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 880.14 = 312.62 : x
  2. Step 2: Convert to fraction form
    586.46/880.14 = 312.62/x
  3. Step 3: Cross multiply
    586.46x = 880.14 × 312.62
  4. Step 4: Simplify right side
    586.46x = 275,149.37
  5. Step 5: Solve for x
    x = 275,149.37/586.46
  6. Step 6: Final answer
    x = 469.17

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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.