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Finding the Fourth Proportional to 585.24, 807.38 and 375.35

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Solution

The fourth proportional to 585.24, 807.38 and 375.35 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 807.38 = 375.35 : x
  2. Step 2: Convert to fraction form
    585.24/807.38 = 375.35/x
  3. Step 3: Cross multiply
    585.24x = 807.38 × 375.35
  4. Step 4: Simplify right side
    585.24x = 303,050.08
  5. Step 5: Solve for x
    x = 303,050.08/585.24
  6. Step 6: Final answer
    x = 517.82

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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.