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Finding the Fourth Proportional to 525.24, 787.60 and 200.40

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Solution

The fourth proportional to 525.24, 787.60 and 200.40 is: 300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.24 : 787.60 = 200.40 : x
  2. Step 2: Convert to fraction form
    525.24/787.60 = 200.40/x
  3. Step 3: Cross multiply
    525.24x = 787.60 × 200.40
  4. Step 4: Simplify right side
    525.24x = 157,835.04
  5. Step 5: Solve for x
    x = 157,835.04/525.24
  6. Step 6: Final answer
    x = 300.50

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1.5x scale

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.