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Finding the Fourth Proportional to 525.79, 787.07 and 342.79

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Solution

The fourth proportional to 525.79, 787.07 and 342.79 is: 513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.79 : 787.07 = 342.79 : x
  2. Step 2: Convert to fraction form
    525.79/787.07 = 342.79/x
  3. Step 3: Cross multiply
    525.79x = 787.07 × 342.79
  4. Step 4: Simplify right side
    525.79x = 269,798.01
  5. Step 5: Solve for x
    x = 269,798.01/525.79
  6. Step 6: Final answer
    x = 513.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.