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Finding the Fourth Proportional to 524.56, 787.20 and 236.32

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Solution

The fourth proportional to 524.56, 787.20 and 236.32 is: 354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 787.20 = 236.32 : x
  2. Step 2: Convert to fraction form
    524.56/787.20 = 236.32/x
  3. Step 3: Cross multiply
    524.56x = 787.20 × 236.32
  4. Step 4: Simplify right side
    524.56x = 186,031.10
  5. Step 5: Solve for x
    x = 186,031.10/524.56
  6. Step 6: Final answer
    x = 354.64

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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.