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Finding the Fourth Proportional to 525.66, 787.85 and 233.02

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Solution

The fourth proportional to 525.66, 787.85 and 233.02 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.66 : 787.85 = 233.02 : x
  2. Step 2: Convert to fraction form
    525.66/787.85 = 233.02/x
  3. Step 3: Cross multiply
    525.66x = 787.85 × 233.02
  4. Step 4: Simplify right side
    525.66x = 183,584.81
  5. Step 5: Solve for x
    x = 183,584.81/525.66
  6. Step 6: Final answer
    x = 349.25

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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.