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Finding the Fourth Proportional to 356.74, 491.61 and 253.06

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Solution

The fourth proportional to 356.74, 491.61 and 253.06 is: 348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 491.61 = 253.06 : x
  2. Step 2: Convert to fraction form
    356.74/491.61 = 253.06/x
  3. Step 3: Cross multiply
    356.74x = 491.61 × 253.06
  4. Step 4: Simplify right side
    356.74x = 124,406.83
  5. Step 5: Solve for x
    x = 124,406.83/356.74
  6. Step 6: Final answer
    x = 348.73

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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.