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Finding the Fourth Proportional to 369.45, 508.68 and 314.10

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Solution

The fourth proportional to 369.45, 508.68 and 314.10 is: 432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.45 : 508.68 = 314.10 : x
  2. Step 2: Convert to fraction form
    369.45/508.68 = 314.10/x
  3. Step 3: Cross multiply
    369.45x = 508.68 × 314.10
  4. Step 4: Simplify right side
    369.45x = 159,776.39
  5. Step 5: Solve for x
    x = 159,776.39/369.45
  6. Step 6: Final answer
    x = 432.47

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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.