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Finding the Fourth Proportional to 328.52, 454.14 and 314.92

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Solution

The fourth proportional to 328.52, 454.14 and 314.92 is: 435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.52 : 454.14 = 314.92 : x
  2. Step 2: Convert to fraction form
    328.52/454.14 = 314.92/x
  3. Step 3: Cross multiply
    328.52x = 454.14 × 314.92
  4. Step 4: Simplify right side
    328.52x = 143,017.77
  5. Step 5: Solve for x
    x = 143,017.77/328.52
  6. Step 6: Final answer
    x = 435.34

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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.