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Finding the Fourth Proportional to 586.68, 878.18 and 524.84

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Solution

The fourth proportional to 586.68, 878.18 and 524.84 is: 785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.68 : 878.18 = 524.84 : x
  2. Step 2: Convert to fraction form
    586.68/878.18 = 524.84/x
  3. Step 3: Cross multiply
    586.68x = 878.18 × 524.84
  4. Step 4: Simplify right side
    586.68x = 460,903.99
  5. Step 5: Solve for x
    x = 460,903.99/586.68
  6. Step 6: Final answer
    x = 785.61

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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.