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Finding the Fourth Proportional to 583.20, 805.14 and 457.25

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Solution

The fourth proportional to 583.20, 805.14 and 457.25 is: 631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.20 : 805.14 = 457.25 : x
  2. Step 2: Convert to fraction form
    583.20/805.14 = 457.25/x
  3. Step 3: Cross multiply
    583.20x = 805.14 × 457.25
  4. Step 4: Simplify right side
    583.20x = 368,146.24
  5. Step 5: Solve for x
    x = 368,146.24/583.20
  6. Step 6: Final answer
    x = 631.25

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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.