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Finding the Fourth Proportional to 292.10, 435.56 and 272.24

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Solution

The fourth proportional to 292.10, 435.56 and 272.24 is: 405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 435.56 = 272.24 : x
  2. Step 2: Convert to fraction form
    292.10/435.56 = 272.24/x
  3. Step 3: Cross multiply
    292.10x = 435.56 × 272.24
  4. Step 4: Simplify right side
    292.10x = 118,574.34
  5. Step 5: Solve for x
    x = 118,574.34/292.10
  6. Step 6: Final answer
    x = 405.94

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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.