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Finding the Fourth Proportional to 296.16, 410.56 and 290.20

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Solution

The fourth proportional to 296.16, 410.56 and 290.20 is: 402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 410.56 = 290.20 : x
  2. Step 2: Convert to fraction form
    296.16/410.56 = 290.20/x
  3. Step 3: Cross multiply
    296.16x = 410.56 × 290.20
  4. Step 4: Simplify right side
    296.16x = 119,144.51
  5. Step 5: Solve for x
    x = 119,144.51/296.16
  6. Step 6: Final answer
    x = 402.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.