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Finding the Fourth Proportional to 355.45, 532.72 and 287.01

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Solution

The fourth proportional to 355.45, 532.72 and 287.01 is: 430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.45 : 532.72 = 287.01 : x
  2. Step 2: Convert to fraction form
    355.45/532.72 = 287.01/x
  3. Step 3: Cross multiply
    355.45x = 532.72 × 287.01
  4. Step 4: Simplify right side
    355.45x = 152,895.97
  5. Step 5: Solve for x
    x = 152,895.97/355.45
  6. Step 6: Final answer
    x = 430.15

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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.