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Finding the Fourth Proportional to 507.64, 700.32 and 311.14

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Solution

The fourth proportional to 507.64, 700.32 and 311.14 is: 429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 700.32 = 311.14 : x
  2. Step 2: Convert to fraction form
    507.64/700.32 = 311.14/x
  3. Step 3: Cross multiply
    507.64x = 700.32 × 311.14
  4. Step 4: Simplify right side
    507.64x = 217,897.56
  5. Step 5: Solve for x
    x = 217,897.56/507.64
  6. Step 6: Final answer
    x = 429.24

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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.