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Finding the Fourth Proportional to 586.01, 878.57 and 354.84

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Solution

The fourth proportional to 586.01, 878.57 and 354.84 is: 531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.01 : 878.57 = 354.84 : x
  2. Step 2: Convert to fraction form
    586.01/878.57 = 354.84/x
  3. Step 3: Cross multiply
    586.01x = 878.57 × 354.84
  4. Step 4: Simplify right side
    586.01x = 311,748.53
  5. Step 5: Solve for x
    x = 311,748.53/586.01
  6. Step 6: Final answer
    x = 531.99

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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.