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Finding the Fourth Proportional to 510.02, 698.54 and 480.09

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Solution

The fourth proportional to 510.02, 698.54 and 480.09 is: 657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.02 : 698.54 = 480.09 : x
  2. Step 2: Convert to fraction form
    510.02/698.54 = 480.09/x
  3. Step 3: Cross multiply
    510.02x = 698.54 × 480.09
  4. Step 4: Simplify right side
    510.02x = 335,357.05
  5. Step 5: Solve for x
    x = 335,357.05/510.02
  6. Step 6: Final answer
    x = 657.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.