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Finding the Fourth Proportional to 586.71, 880.47 and 584.28

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Solution

The fourth proportional to 586.71, 880.47 and 584.28 is: 876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.71 : 880.47 = 584.28 : x
  2. Step 2: Convert to fraction form
    586.71/880.47 = 584.28/x
  3. Step 3: Cross multiply
    586.71x = 880.47 × 584.28
  4. Step 4: Simplify right side
    586.71x = 514,441.01
  5. Step 5: Solve for x
    x = 514,441.01/586.71
  6. Step 6: Final answer
    x = 876.82

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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.