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Finding the Fourth Proportional to 563.76, 780.84 and 521.64

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Solution

The fourth proportional to 563.76, 780.84 and 521.64 is: 722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 780.84 = 521.64 : x
  2. Step 2: Convert to fraction form
    563.76/780.84 = 521.64/x
  3. Step 3: Cross multiply
    563.76x = 780.84 × 521.64
  4. Step 4: Simplify right side
    563.76x = 407,317.38
  5. Step 5: Solve for x
    x = 407,317.38/563.76
  6. Step 6: Final answer
    x = 722.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.