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Finding the Fourth Proportional to 510.89, 704.32 and 363.26

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Solution

The fourth proportional to 510.89, 704.32 and 363.26 is: 500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.89 : 704.32 = 363.26 : x
  2. Step 2: Convert to fraction form
    510.89/704.32 = 363.26/x
  3. Step 3: Cross multiply
    510.89x = 704.32 × 363.26
  4. Step 4: Simplify right side
    510.89x = 255,852.14
  5. Step 5: Solve for x
    x = 255,852.14/510.89
  6. Step 6: Final answer
    x = 500.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.