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Finding the Fourth Proportional to 585.05, 877.62 and 174.16

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Solution

The fourth proportional to 585.05, 877.62 and 174.16 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 877.62 = 174.16 : x
  2. Step 2: Convert to fraction form
    585.05/877.62 = 174.16/x
  3. Step 3: Cross multiply
    585.05x = 877.62 × 174.16
  4. Step 4: Simplify right side
    585.05x = 152,841.91
  5. Step 5: Solve for x
    x = 152,841.91/585.05
  6. Step 6: Final answer
    x = 261.25

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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.