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Finding the Fourth Proportional to 356, 491.56 and 282.70

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Solution

The fourth proportional to 356, 491.56 and 282.70 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356 : 491.56 = 282.70 : x
  2. Step 2: Convert to fraction form
    356/491.56 = 282.70/x
  3. Step 3: Cross multiply
    356x = 491.56 × 282.70
  4. Step 4: Simplify right side
    356x = 138,964.01
  5. Step 5: Solve for x
    x = 138,964.01/356
  6. Step 6: Final answer
    x = 390.35

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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.