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Finding the Fourth Proportional to 583.66, 805.08 and 397.27

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Solution

The fourth proportional to 583.66, 805.08 and 397.27 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.66 : 805.08 = 397.27 : x
  2. Step 2: Convert to fraction form
    583.66/805.08 = 397.27/x
  3. Step 3: Cross multiply
    583.66x = 805.08 × 397.27
  4. Step 4: Simplify right side
    583.66x = 319,834.13
  5. Step 5: Solve for x
    x = 319,834.13/583.66
  6. Step 6: Final answer
    x = 547.98

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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.