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Finding the Fourth Proportional to 332.07, 497.99 and 230.01

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Solution

The fourth proportional to 332.07, 497.99 and 230.01 is: 344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.07 : 497.99 = 230.01 : x
  2. Step 2: Convert to fraction form
    332.07/497.99 = 230.01/x
  3. Step 3: Cross multiply
    332.07x = 497.99 × 230.01
  4. Step 4: Simplify right side
    332.07x = 114,541.39
  5. Step 5: Solve for x
    x = 114,541.39/332.07
  6. Step 6: Final answer
    x = 344.94

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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.