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Finding the Fourth Proportional to 506.35, 699.06 and 332.00

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Solution

The fourth proportional to 506.35, 699.06 and 332.00 is: 458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.35 : 699.06 = 332.00 : x
  2. Step 2: Convert to fraction form
    506.35/699.06 = 332.00/x
  3. Step 3: Cross multiply
    506.35x = 699.06 × 332.00
  4. Step 4: Simplify right side
    506.35x = 232,084.42
  5. Step 5: Solve for x
    x = 232,084.42/506.35
  6. Step 6: Final answer
    x = 458.35

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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.