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Finding the Fourth Proportional to 507.68, 700.72 and 311.16

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Solution

The fourth proportional to 507.68, 700.72 and 311.16 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.68 : 700.72 = 311.16 : x
  2. Step 2: Convert to fraction form
    507.68/700.72 = 311.16/x
  3. Step 3: Cross multiply
    507.68x = 700.72 × 311.16
  4. Step 4: Simplify right side
    507.68x = 218,036.04
  5. Step 5: Solve for x
    x = 218,036.04/507.68
  6. Step 6: Final answer
    x = 429.48

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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.