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Finding the Fourth Proportional to 583.74, 805.86 and 387.36

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Solution

The fourth proportional to 583.74, 805.86 and 387.36 is: 534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.86 = 387.36 : x
  2. Step 2: Convert to fraction form
    583.74/805.86 = 387.36/x
  3. Step 3: Cross multiply
    583.74x = 805.86 × 387.36
  4. Step 4: Simplify right side
    583.74x = 312,157.93
  5. Step 5: Solve for x
    x = 312,157.93/583.74
  6. Step 6: Final answer
    x = 534.76

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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.