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Finding the Fourth Proportional to 402.53, 603.59 and 152.28

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Solution

The fourth proportional to 402.53, 603.59 and 152.28 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.53 : 603.59 = 152.28 : x
  2. Step 2: Convert to fraction form
    402.53/603.59 = 152.28/x
  3. Step 3: Cross multiply
    402.53x = 603.59 × 152.28
  4. Step 4: Simplify right side
    402.53x = 91,913.92
  5. Step 5: Solve for x
    x = 91,913.92/402.53
  6. Step 6: Final answer
    x = 228.34

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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.