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Finding the Fourth Proportional to 585.70, 807.65 and 375.89

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Solution

The fourth proportional to 585.70, 807.65 and 375.89 is: 518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.70 : 807.65 = 375.89 : x
  2. Step 2: Convert to fraction form
    585.70/807.65 = 375.89/x
  3. Step 3: Cross multiply
    585.70x = 807.65 × 375.89
  4. Step 4: Simplify right side
    585.70x = 303,581.64
  5. Step 5: Solve for x
    x = 303,581.64/585.70
  6. Step 6: Final answer
    x = 518.33

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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.