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Finding the Fourth Proportional to 508.70, 761.28 and 313.64

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Solution

The fourth proportional to 508.70, 761.28 and 313.64 is: 469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.70 : 761.28 = 313.64 : x
  2. Step 2: Convert to fraction form
    508.70/761.28 = 313.64/x
  3. Step 3: Cross multiply
    508.70x = 761.28 × 313.64
  4. Step 4: Simplify right side
    508.70x = 238,767.86
  5. Step 5: Solve for x
    x = 238,767.86/508.70
  6. Step 6: Final answer
    x = 469.37

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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.