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Finding the Fourth Proportional to 356.47, 492.27 and 294.50

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Solution

The fourth proportional to 356.47, 492.27 and 294.50 is: 406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.47 : 492.27 = 294.50 : x
  2. Step 2: Convert to fraction form
    356.47/492.27 = 294.50/x
  3. Step 3: Cross multiply
    356.47x = 492.27 × 294.50
  4. Step 4: Simplify right side
    356.47x = 144,973.52
  5. Step 5: Solve for x
    x = 144,973.52/356.47
  6. Step 6: Final answer
    x = 406.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.