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Finding the Fourth Proportional to 369, 508.92 and 313.88

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Solution

The fourth proportional to 369, 508.92 and 313.88 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 508.92 = 313.88 : x
  2. Step 2: Convert to fraction form
    369/508.92 = 313.88/x
  3. Step 3: Cross multiply
    369x = 508.92 × 313.88
  4. Step 4: Simplify right side
    369x = 159,739.81
  5. Step 5: Solve for x
    x = 159,739.81/369
  6. Step 6: Final answer
    x = 432.90

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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.