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Finding the Fourth Proportional to 586.76, 878.82 and 380.70

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Solution

The fourth proportional to 586.76, 878.82 and 380.70 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 878.82 = 380.70 : x
  2. Step 2: Convert to fraction form
    586.76/878.82 = 380.70/x
  3. Step 3: Cross multiply
    586.76x = 878.82 × 380.70
  4. Step 4: Simplify right side
    586.76x = 334,566.77
  5. Step 5: Solve for x
    x = 334,566.77/586.76
  6. Step 6: Final answer
    x = 570.20

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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.