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Finding the Fourth Proportional to 293.66, 437.84 and 275.04

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Solution

The fourth proportional to 293.66, 437.84 and 275.04 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 437.84 = 275.04 : x
  2. Step 2: Convert to fraction form
    293.66/437.84 = 275.04/x
  3. Step 3: Cross multiply
    293.66x = 437.84 × 275.04
  4. Step 4: Simplify right side
    293.66x = 120,423.51
  5. Step 5: Solve for x
    x = 120,423.51/293.66
  6. Step 6: Final answer
    x = 410.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.