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Finding the Fourth Proportional to 507.20, 700.11 and 332.51

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Solution

The fourth proportional to 507.20, 700.11 and 332.51 is: 458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 700.11 = 332.51 : x
  2. Step 2: Convert to fraction form
    507.20/700.11 = 332.51/x
  3. Step 3: Cross multiply
    507.20x = 700.11 × 332.51
  4. Step 4: Simplify right side
    507.20x = 232,790.08
  5. Step 5: Solve for x
    x = 232,790.08/507.20
  6. Step 6: Final answer
    x = 458.98

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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.