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Finding the Fourth Proportional to 583.33, 873.63 and 566.93

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Solution

The fourth proportional to 583.33, 873.63 and 566.93 is: 849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.33 : 873.63 = 566.93 : x
  2. Step 2: Convert to fraction form
    583.33/873.63 = 566.93/x
  3. Step 3: Cross multiply
    583.33x = 873.63 × 566.93
  4. Step 4: Simplify right side
    583.33x = 495,287.06
  5. Step 5: Solve for x
    x = 495,287.06/583.33
  6. Step 6: Final answer
    x = 849.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.