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Finding the Fourth Proportional to 585.42, 877.65 and 403.17

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Solution

The fourth proportional to 585.42, 877.65 and 403.17 is: 604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 877.65 = 403.17 : x
  2. Step 2: Convert to fraction form
    585.42/877.65 = 403.17/x
  3. Step 3: Cross multiply
    585.42x = 877.65 × 403.17
  4. Step 4: Simplify right side
    585.42x = 353,842.15
  5. Step 5: Solve for x
    x = 353,842.15/585.42
  6. Step 6: Final answer
    x = 604.42

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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.