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Finding the Fourth Proportional to 584.95, 807.23 and 332.87

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Solution

The fourth proportional to 584.95, 807.23 and 332.87 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.95 : 807.23 = 332.87 : x
  2. Step 2: Convert to fraction form
    584.95/807.23 = 332.87/x
  3. Step 3: Cross multiply
    584.95x = 807.23 × 332.87
  4. Step 4: Simplify right side
    584.95x = 268,702.65
  5. Step 5: Solve for x
    x = 268,702.65/584.95
  6. Step 6: Final answer
    x = 459.36

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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.