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Finding the Fourth Proportional to 583.68, 875.82 and 237.18

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Solution

The fourth proportional to 583.68, 875.82 and 237.18 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.68 : 875.82 = 237.18 : x
  2. Step 2: Convert to fraction form
    583.68/875.82 = 237.18/x
  3. Step 3: Cross multiply
    583.68x = 875.82 × 237.18
  4. Step 4: Simplify right side
    583.68x = 207,726.99
  5. Step 5: Solve for x
    x = 207,726.99/583.68
  6. Step 6: Final answer
    x = 355.89

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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.