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Finding the Fourth Proportional to 438.96, 657.54 and 317.46

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Solution

The fourth proportional to 438.96, 657.54 and 317.46 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.96 : 657.54 = 317.46 : x
  2. Step 2: Convert to fraction form
    438.96/657.54 = 317.46/x
  3. Step 3: Cross multiply
    438.96x = 657.54 × 317.46
  4. Step 4: Simplify right side
    438.96x = 208,742.65
  5. Step 5: Solve for x
    x = 208,742.65/438.96
  6. Step 6: Final answer
    x = 475.54

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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.