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Finding the Fourth Proportional to 586.25, 874.83 and 508.49

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Solution

The fourth proportional to 586.25, 874.83 and 508.49 is: 758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.25 : 874.83 = 508.49 : x
  2. Step 2: Convert to fraction form
    586.25/874.83 = 508.49/x
  3. Step 3: Cross multiply
    586.25x = 874.83 × 508.49
  4. Step 4: Simplify right side
    586.25x = 444,842.31
  5. Step 5: Solve for x
    x = 444,842.31/586.25
  6. Step 6: Final answer
    x = 758.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.