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Finding the Fourth Proportional to 586.79, 880.72 and 478.36

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Solution

The fourth proportional to 586.79, 880.72 and 478.36 is: 717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.79 : 880.72 = 478.36 : x
  2. Step 2: Convert to fraction form
    586.79/880.72 = 478.36/x
  3. Step 3: Cross multiply
    586.79x = 880.72 × 478.36
  4. Step 4: Simplify right side
    586.79x = 421,298.86
  5. Step 5: Solve for x
    x = 421,298.86/586.79
  6. Step 6: Final answer
    x = 717.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.