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Finding the Fourth Proportional to 337.95, 463.68 and 328.77

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Solution

The fourth proportional to 337.95, 463.68 and 328.77 is: 451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.95 : 463.68 = 328.77 : x
  2. Step 2: Convert to fraction form
    337.95/463.68 = 328.77/x
  3. Step 3: Cross multiply
    337.95x = 463.68 × 328.77
  4. Step 4: Simplify right side
    337.95x = 152,444.07
  5. Step 5: Solve for x
    x = 152,444.07/337.95
  6. Step 6: Final answer
    x = 451.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.