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Finding the Fourth Proportional to 585.06, 877.53 and 470.85

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Solution

The fourth proportional to 585.06, 877.53 and 470.85 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.06 : 877.53 = 470.85 : x
  2. Step 2: Convert to fraction form
    585.06/877.53 = 470.85/x
  3. Step 3: Cross multiply
    585.06x = 877.53 × 470.85
  4. Step 4: Simplify right side
    585.06x = 413,183.48
  5. Step 5: Solve for x
    x = 413,183.48/585.06
  6. Step 6: Final answer
    x = 706.23

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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.