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Finding the Fourth Proportional to 510.20, 764.77 and 465.09

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Solution

The fourth proportional to 510.20, 764.77 and 465.09 is: 697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 764.77 = 465.09 : x
  2. Step 2: Convert to fraction form
    510.20/764.77 = 465.09/x
  3. Step 3: Cross multiply
    510.20x = 764.77 × 465.09
  4. Step 4: Simplify right side
    510.20x = 355,686.71
  5. Step 5: Solve for x
    x = 355,686.71/510.20
  6. Step 6: Final answer
    x = 697.15

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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.