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Finding the Fourth Proportional to 585.52, 808.13 and 386.01

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Solution

The fourth proportional to 585.52, 808.13 and 386.01 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 808.13 = 386.01 : x
  2. Step 2: Convert to fraction form
    585.52/808.13 = 386.01/x
  3. Step 3: Cross multiply
    585.52x = 808.13 × 386.01
  4. Step 4: Simplify right side
    585.52x = 311,947.23
  5. Step 5: Solve for x
    x = 311,947.23/585.52
  6. Step 6: Final answer
    x = 532.77

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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.