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Finding the Fourth Proportional to 586.98, 879.18 and 477.60

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Solution

The fourth proportional to 586.98, 879.18 and 477.60 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 879.18 = 477.60 : x
  2. Step 2: Convert to fraction form
    586.98/879.18 = 477.60/x
  3. Step 3: Cross multiply
    586.98x = 879.18 × 477.60
  4. Step 4: Simplify right side
    586.98x = 419,896.37
  5. Step 5: Solve for x
    x = 419,896.37/586.98
  6. Step 6: Final answer
    x = 715.35

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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.