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Finding the Fourth Proportional to 510.03, 762.75 and 455.52

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Solution

The fourth proportional to 510.03, 762.75 and 455.52 is: 681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.03 : 762.75 = 455.52 : x
  2. Step 2: Convert to fraction form
    510.03/762.75 = 455.52/x
  3. Step 3: Cross multiply
    510.03x = 762.75 × 455.52
  4. Step 4: Simplify right side
    510.03x = 347,447.88
  5. Step 5: Solve for x
    x = 347,447.88/510.03
  6. Step 6: Final answer
    x = 681.23

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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.