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Finding the Fourth Proportional to 585.77, 807.84 and 452.99

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Solution

The fourth proportional to 585.77, 807.84 and 452.99 is: 624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.77 : 807.84 = 452.99 : x
  2. Step 2: Convert to fraction form
    585.77/807.84 = 452.99/x
  3. Step 3: Cross multiply
    585.77x = 807.84 × 452.99
  4. Step 4: Simplify right side
    585.77x = 365,945.46
  5. Step 5: Solve for x
    x = 365,945.46/585.77
  6. Step 6: Final answer
    x = 624.73

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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.