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Finding the Fourth Proportional to 585.32, 877.98 and 174.50

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Solution

The fourth proportional to 585.32, 877.98 and 174.50 is: 261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.32 : 877.98 = 174.50 : x
  2. Step 2: Convert to fraction form
    585.32/877.98 = 174.50/x
  3. Step 3: Cross multiply
    585.32x = 877.98 × 174.50
  4. Step 4: Simplify right side
    585.32x = 153,202.25
  5. Step 5: Solve for x
    x = 153,202.25/585.32
  6. Step 6: Final answer
    x = 261.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.