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Finding the Fourth Proportional to 386.65, 533.15 and 297.93

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Solution

The fourth proportional to 386.65, 533.15 and 297.93 is: 410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.65 : 533.15 = 297.93 : x
  2. Step 2: Convert to fraction form
    386.65/533.15 = 297.93/x
  3. Step 3: Cross multiply
    386.65x = 533.15 × 297.93
  4. Step 4: Simplify right side
    386.65x = 158,841.38
  5. Step 5: Solve for x
    x = 158,841.38/386.65
  6. Step 6: Final answer
    x = 410.81

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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.