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Finding the Fourth Proportional to 337.95, 507.51 and 322.56

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Solution

The fourth proportional to 337.95, 507.51 and 322.56 is: 484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.95 : 507.51 = 322.56 : x
  2. Step 2: Convert to fraction form
    337.95/507.51 = 322.56/x
  3. Step 3: Cross multiply
    337.95x = 507.51 × 322.56
  4. Step 4: Simplify right side
    337.95x = 163,702.43
  5. Step 5: Solve for x
    x = 163,702.43/337.95
  6. Step 6: Final answer
    x = 484.40

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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.