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Finding the Fourth Proportional to 583.28, 803.76 and 452.24

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Solution

The fourth proportional to 583.28, 803.76 and 452.24 is: 623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.28 : 803.76 = 452.24 : x
  2. Step 2: Convert to fraction form
    583.28/803.76 = 452.24/x
  3. Step 3: Cross multiply
    583.28x = 803.76 × 452.24
  4. Step 4: Simplify right side
    583.28x = 363,492.42
  5. Step 5: Solve for x
    x = 363,492.42/583.28
  6. Step 6: Final answer
    x = 623.19

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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.