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Finding the Fourth Proportional to 356, 531.07 and 301.50

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Solution

The fourth proportional to 356, 531.07 and 301.50 is: 449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356 : 531.07 = 301.50 : x
  2. Step 2: Convert to fraction form
    356/531.07 = 301.50/x
  3. Step 3: Cross multiply
    356x = 531.07 × 301.50
  4. Step 4: Simplify right side
    356x = 160,113.44
  5. Step 5: Solve for x
    x = 160,113.44/356
  6. Step 6: Final answer
    x = 449.76

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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.