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Finding the Fourth Proportional to 581.97, 803.70 and 416.55

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Solution

The fourth proportional to 581.97, 803.70 and 416.55 is: 575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.97 : 803.70 = 416.55 : x
  2. Step 2: Convert to fraction form
    581.97/803.70 = 416.55/x
  3. Step 3: Cross multiply
    581.97x = 803.70 × 416.55
  4. Step 4: Simplify right side
    581.97x = 334,781.24
  5. Step 5: Solve for x
    x = 334,781.24/581.97
  6. Step 6: Final answer
    x = 575.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.