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Finding the Fourth Proportional to 514.40, 709.53 and 317.66

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Solution

The fourth proportional to 514.40, 709.53 and 317.66 is: 438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.40 : 709.53 = 317.66 : x
  2. Step 2: Convert to fraction form
    514.40/709.53 = 317.66/x
  3. Step 3: Cross multiply
    514.40x = 709.53 × 317.66
  4. Step 4: Simplify right side
    514.40x = 225,389.30
  5. Step 5: Solve for x
    x = 225,389.30/514.40
  6. Step 6: Final answer
    x = 438.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.