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Finding the Fourth Proportional to 585.07, 807.38 and 319.52

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Solution

The fourth proportional to 585.07, 807.38 and 319.52 is: 440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.07 : 807.38 = 319.52 : x
  2. Step 2: Convert to fraction form
    585.07/807.38 = 319.52/x
  3. Step 3: Cross multiply
    585.07x = 807.38 × 319.52
  4. Step 4: Simplify right side
    585.07x = 257,972.33
  5. Step 5: Solve for x
    x = 257,972.33/585.07
  6. Step 6: Final answer
    x = 440.93

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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.