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Finding the Fourth Proportional to 474.93, 712.35 and 292.23

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Solution

The fourth proportional to 474.93, 712.35 and 292.23 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.93 : 712.35 = 292.23 : x
  2. Step 2: Convert to fraction form
    474.93/712.35 = 292.23/x
  3. Step 3: Cross multiply
    474.93x = 712.35 × 292.23
  4. Step 4: Simplify right side
    474.93x = 208,170.04
  5. Step 5: Solve for x
    x = 208,170.04/474.93
  6. Step 6: Final answer
    x = 438.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.