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Finding the Fourth Proportional to 583.91, 805.01 and 466.29

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Solution

The fourth proportional to 583.91, 805.01 and 466.29 is: 642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.91 : 805.01 = 466.29 : x
  2. Step 2: Convert to fraction form
    583.91/805.01 = 466.29/x
  3. Step 3: Cross multiply
    583.91x = 805.01 × 466.29
  4. Step 4: Simplify right side
    583.91x = 375,365.78
  5. Step 5: Solve for x
    x = 375,365.78/583.91
  6. Step 6: Final answer
    x = 642.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.