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Finding the Fourth Proportional to 584.01, 880.58 and 535.55

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Solution

The fourth proportional to 584.01, 880.58 and 535.55 is: 807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.01 : 880.58 = 535.55 : x
  2. Step 2: Convert to fraction form
    584.01/880.58 = 535.55/x
  3. Step 3: Cross multiply
    584.01x = 880.58 × 535.55
  4. Step 4: Simplify right side
    584.01x = 471,591.55
  5. Step 5: Solve for x
    x = 471,591.55/584.01
  6. Step 6: Final answer
    x = 807.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.