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Finding the Fourth Proportional to 587.29, 876.36 and 583.24

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Solution

The fourth proportional to 587.29, 876.36 and 583.24 is: 870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.29 : 876.36 = 583.24 : x
  2. Step 2: Convert to fraction form
    587.29/876.36 = 583.24/x
  3. Step 3: Cross multiply
    587.29x = 876.36 × 583.24
  4. Step 4: Simplify right side
    587.29x = 511,125.29
  5. Step 5: Solve for x
    x = 511,125.29/587.29
  6. Step 6: Final answer
    x = 870.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.