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Finding the Fourth Proportional to 507.69, 700.77 and 311.13

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Solution

The fourth proportional to 507.69, 700.77 and 311.13 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 700.77 = 311.13 : x
  2. Step 2: Convert to fraction form
    507.69/700.77 = 311.13/x
  3. Step 3: Cross multiply
    507.69x = 700.77 × 311.13
  4. Step 4: Simplify right side
    507.69x = 218,030.57
  5. Step 5: Solve for x
    x = 218,030.57/507.69
  6. Step 6: Final answer
    x = 429.46

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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.