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Finding the Fourth Proportional to 584.76, 872.88 and 541.32

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Solution

The fourth proportional to 584.76, 872.88 and 541.32 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.76 : 872.88 = 541.32 : x
  2. Step 2: Convert to fraction form
    584.76/872.88 = 541.32/x
  3. Step 3: Cross multiply
    584.76x = 872.88 × 541.32
  4. Step 4: Simplify right side
    584.76x = 472,507.40
  5. Step 5: Solve for x
    x = 472,507.40/584.76
  6. Step 6: Final answer
    x = 808.04

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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.