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Finding the Fourth Proportional to 585.01, 807.06 and 410.59

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Solution

The fourth proportional to 585.01, 807.06 and 410.59 is: 566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.01 : 807.06 = 410.59 : x
  2. Step 2: Convert to fraction form
    585.01/807.06 = 410.59/x
  3. Step 3: Cross multiply
    585.01x = 807.06 × 410.59
  4. Step 4: Simplify right side
    585.01x = 331,370.77
  5. Step 5: Solve for x
    x = 331,370.77/585.01
  6. Step 6: Final answer
    x = 566.44

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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.