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Finding the Fourth Proportional to 583.79, 805.56 and 397.22

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Solution

The fourth proportional to 583.79, 805.56 and 397.22 is: 548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.79 : 805.56 = 397.22 : x
  2. Step 2: Convert to fraction form
    583.79/805.56 = 397.22/x
  3. Step 3: Cross multiply
    583.79x = 805.56 × 397.22
  4. Step 4: Simplify right side
    583.79x = 319,985.79
  5. Step 5: Solve for x
    x = 319,985.79/583.79
  6. Step 6: Final answer
    x = 548.12

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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.