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Finding the Fourth Proportional to 292.23, 435.98 and 263.07

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Solution

The fourth proportional to 292.23, 435.98 and 263.07 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 435.98 = 263.07 : x
  2. Step 2: Convert to fraction form
    292.23/435.98 = 263.07/x
  3. Step 3: Cross multiply
    292.23x = 435.98 × 263.07
  4. Step 4: Simplify right side
    292.23x = 114,693.26
  5. Step 5: Solve for x
    x = 114,693.26/292.23
  6. Step 6: Final answer
    x = 392.48

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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.