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Finding the Fourth Proportional to 525.54, 786.72 and 342.57

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Solution

The fourth proportional to 525.54, 786.72 and 342.57 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.54 : 786.72 = 342.57 : x
  2. Step 2: Convert to fraction form
    525.54/786.72 = 342.57/x
  3. Step 3: Cross multiply
    525.54x = 786.72 × 342.57
  4. Step 4: Simplify right side
    525.54x = 269,506.67
  5. Step 5: Solve for x
    x = 269,506.67/525.54
  6. Step 6: Final answer
    x = 512.82

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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.