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Finding the Fourth Proportional to 355.08, 532.16 and 286.63

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Solution

The fourth proportional to 355.08, 532.16 and 286.63 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.08 : 532.16 = 286.63 : x
  2. Step 2: Convert to fraction form
    355.08/532.16 = 286.63/x
  3. Step 3: Cross multiply
    355.08x = 532.16 × 286.63
  4. Step 4: Simplify right side
    355.08x = 152,533.02
  5. Step 5: Solve for x
    x = 152,533.02/355.08
  6. Step 6: Final answer
    x = 429.57

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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.