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Finding the Fourth Proportional to 585.10, 877.70 and 174.21

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Solution

The fourth proportional to 585.10, 877.70 and 174.21 is: 261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.10 : 877.70 = 174.21 : x
  2. Step 2: Convert to fraction form
    585.10/877.70 = 174.21/x
  3. Step 3: Cross multiply
    585.10x = 877.70 × 174.21
  4. Step 4: Simplify right side
    585.10x = 152,904.12
  5. Step 5: Solve for x
    x = 152,904.12/585.10
  6. Step 6: Final answer
    x = 261.33

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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.