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Finding the Fourth Proportional to 292.32, 441.12 and 283.20

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Solution

The fourth proportional to 292.32, 441.12 and 283.20 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 441.12 = 283.20 : x
  2. Step 2: Convert to fraction form
    292.32/441.12 = 283.20/x
  3. Step 3: Cross multiply
    292.32x = 441.12 × 283.20
  4. Step 4: Simplify right side
    292.32x = 124,925.18
  5. Step 5: Solve for x
    x = 124,925.18/292.32
  6. Step 6: Final answer
    x = 427.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.