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Finding the Fourth Proportional to 563.76, 846.84 and 530.88

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Solution

The fourth proportional to 563.76, 846.84 and 530.88 is: 797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 846.84 = 530.88 : x
  2. Step 2: Convert to fraction form
    563.76/846.84 = 530.88/x
  3. Step 3: Cross multiply
    563.76x = 846.84 × 530.88
  4. Step 4: Simplify right side
    563.76x = 449,570.42
  5. Step 5: Solve for x
    x = 449,570.42/563.76
  6. Step 6: Final answer
    x = 797.45

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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.