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Finding the Fourth Proportional to 575.42, 864.03 and 466.16

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Solution

The fourth proportional to 575.42, 864.03 and 466.16 is: 699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 864.03 = 466.16 : x
  2. Step 2: Convert to fraction form
    575.42/864.03 = 466.16/x
  3. Step 3: Cross multiply
    575.42x = 864.03 × 466.16
  4. Step 4: Simplify right side
    575.42x = 402,776.22
  5. Step 5: Solve for x
    x = 402,776.22/575.42
  6. Step 6: Final answer
    x = 699.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.