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Finding the Fourth Proportional to 583.12, 876.41 and 540.15

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Solution

The fourth proportional to 583.12, 876.41 and 540.15 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.12 : 876.41 = 540.15 : x
  2. Step 2: Convert to fraction form
    583.12/876.41 = 540.15/x
  3. Step 3: Cross multiply
    583.12x = 876.41 × 540.15
  4. Step 4: Simplify right side
    583.12x = 473,393.07
  5. Step 5: Solve for x
    x = 473,393.07/583.12
  6. Step 6: Final answer
    x = 811.83

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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.