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Finding the Fourth Proportional to 507.95, 762.59 and 264.65

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Solution

The fourth proportional to 507.95, 762.59 and 264.65 is: 397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.95 : 762.59 = 264.65 : x
  2. Step 2: Convert to fraction form
    507.95/762.59 = 264.65/x
  3. Step 3: Cross multiply
    507.95x = 762.59 × 264.65
  4. Step 4: Simplify right side
    507.95x = 201,818.12
  5. Step 5: Solve for x
    x = 201,818.12/507.95
  6. Step 6: Final answer
    x = 397.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.