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Finding the Fourth Proportional to 575.16, 864.80 and 461.03

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Solution

The fourth proportional to 575.16, 864.80 and 461.03 is: 693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.16 : 864.80 = 461.03 : x
  2. Step 2: Convert to fraction form
    575.16/864.80 = 461.03/x
  3. Step 3: Cross multiply
    575.16x = 864.80 × 461.03
  4. Step 4: Simplify right side
    575.16x = 398,692.11
  5. Step 5: Solve for x
    x = 398,692.11/575.16
  6. Step 6: Final answer
    x = 693.18

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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.