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Finding the Fourth Proportional to 585.30, 877.93 and 498.42

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Solution

The fourth proportional to 585.30, 877.93 and 498.42 is: 747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 877.93 = 498.42 : x
  2. Step 2: Convert to fraction form
    585.30/877.93 = 498.42/x
  3. Step 3: Cross multiply
    585.30x = 877.93 × 498.42
  4. Step 4: Simplify right side
    585.30x = 437,579.92
  5. Step 5: Solve for x
    x = 437,579.92/585.30
  6. Step 6: Final answer
    x = 747.62

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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.