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Finding the Fourth Proportional to 505.38, 758.30 and 457.08

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Solution

The fourth proportional to 505.38, 758.30 and 457.08 is: 685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 758.30 = 457.08 : x
  2. Step 2: Convert to fraction form
    505.38/758.30 = 457.08/x
  3. Step 3: Cross multiply
    505.38x = 758.30 × 457.08
  4. Step 4: Simplify right side
    505.38x = 346,603.76
  5. Step 5: Solve for x
    x = 346,603.76/505.38
  6. Step 6: Final answer
    x = 685.83

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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.