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Finding the Fourth Proportional to 508.52, 761.26 and 313

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Solution

The fourth proportional to 508.52, 761.26 and 313 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.52 : 761.26 = 313 : x
  2. Step 2: Convert to fraction form
    508.52/761.26 = 313/x
  3. Step 3: Cross multiply
    508.52x = 761.26 × 313
  4. Step 4: Simplify right side
    508.52x = 238,274.38
  5. Step 5: Solve for x
    x = 238,274.38/508.52
  6. Step 6: Final answer
    x = 468.56

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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.