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Finding the Fourth Proportional to 407.99, 562.79 and 297.33

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Solution

The fourth proportional to 407.99, 562.79 and 297.33 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.99 : 562.79 = 297.33 : x
  2. Step 2: Convert to fraction form
    407.99/562.79 = 297.33/x
  3. Step 3: Cross multiply
    407.99x = 562.79 × 297.33
  4. Step 4: Simplify right side
    407.99x = 167,332.86
  5. Step 5: Solve for x
    x = 167,332.86/407.99
  6. Step 6: Final answer
    x = 410.14

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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.