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Finding the Fourth Proportional to 582.88, 803.96 and 563.84

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Solution

The fourth proportional to 582.88, 803.96 and 563.84 is: 777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 803.96 = 563.84 : x
  2. Step 2: Convert to fraction form
    582.88/803.96 = 563.84/x
  3. Step 3: Cross multiply
    582.88x = 803.96 × 563.84
  4. Step 4: Simplify right side
    582.88x = 453,304.81
  5. Step 5: Solve for x
    x = 453,304.81/582.88
  6. Step 6: Final answer
    x = 777.70

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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.