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Finding the Fourth Proportional to 586.12, 878.50 and 278.06

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Solution

The fourth proportional to 586.12, 878.50 and 278.06 is: 416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.12 : 878.50 = 278.06 : x
  2. Step 2: Convert to fraction form
    586.12/878.50 = 278.06/x
  3. Step 3: Cross multiply
    586.12x = 878.50 × 278.06
  4. Step 4: Simplify right side
    586.12x = 244,275.71
  5. Step 5: Solve for x
    x = 244,275.71/586.12
  6. Step 6: Final answer
    x = 416.77

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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.