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Finding the Fourth Proportional to 583.16, 799.05 and 574.52

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Solution

The fourth proportional to 583.16, 799.05 and 574.52 is: 787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.16 : 799.05 = 574.52 : x
  2. Step 2: Convert to fraction form
    583.16/799.05 = 574.52/x
  3. Step 3: Cross multiply
    583.16x = 799.05 × 574.52
  4. Step 4: Simplify right side
    583.16x = 459,070.21
  5. Step 5: Solve for x
    x = 459,070.21/583.16
  6. Step 6: Final answer
    x = 787.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.