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Finding the Fourth Proportional to 337.89, 508.53 and 304.35

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Solution

The fourth proportional to 337.89, 508.53 and 304.35 is: 458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.89 : 508.53 = 304.35 : x
  2. Step 2: Convert to fraction form
    337.89/508.53 = 304.35/x
  3. Step 3: Cross multiply
    337.89x = 508.53 × 304.35
  4. Step 4: Simplify right side
    337.89x = 154,771.11
  5. Step 5: Solve for x
    x = 154,771.11/337.89
  6. Step 6: Final answer
    x = 458.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.