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Finding the Fourth Proportional to 406.02, 560.49 and 296.34

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Solution

The fourth proportional to 406.02, 560.49 and 296.34 is: 409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 560.49 = 296.34 : x
  2. Step 2: Convert to fraction form
    406.02/560.49 = 296.34/x
  3. Step 3: Cross multiply
    406.02x = 560.49 × 296.34
  4. Step 4: Simplify right side
    406.02x = 166,095.61
  5. Step 5: Solve for x
    x = 166,095.61/406.02
  6. Step 6: Final answer
    x = 409.08

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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.