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Finding the Fourth Proportional to 584.79, 876.84 and 498.17

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Solution

The fourth proportional to 584.79, 876.84 and 498.17 is: 746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.79 : 876.84 = 498.17 : x
  2. Step 2: Convert to fraction form
    584.79/876.84 = 498.17/x
  3. Step 3: Cross multiply
    584.79x = 876.84 × 498.17
  4. Step 4: Simplify right side
    584.79x = 436,811.00
  5. Step 5: Solve for x
    x = 436,811.00/584.79
  6. Step 6: Final answer
    x = 746.95

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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.