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Finding the Fourth Proportional to 586.16, 878.56 and 297.60

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Solution

The fourth proportional to 586.16, 878.56 and 297.60 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 878.56 = 297.60 : x
  2. Step 2: Convert to fraction form
    586.16/878.56 = 297.60/x
  3. Step 3: Cross multiply
    586.16x = 878.56 × 297.60
  4. Step 4: Simplify right side
    586.16x = 261,459.46
  5. Step 5: Solve for x
    x = 261,459.46/586.16
  6. Step 6: Final answer
    x = 446.05

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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.