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Finding the Fourth Proportional to 292.24, 435.89 and 275.32

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Solution

The fourth proportional to 292.24, 435.89 and 275.32 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.24 : 435.89 = 275.32 : x
  2. Step 2: Convert to fraction form
    292.24/435.89 = 275.32/x
  3. Step 3: Cross multiply
    292.24x = 435.89 × 275.32
  4. Step 4: Simplify right side
    292.24x = 120,009.23
  5. Step 5: Solve for x
    x = 120,009.23/292.24
  6. Step 6: Final answer
    x = 410.65

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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.