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Finding the Fourth Proportional to 593.68, 819.34 and 357.68

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Solution

The fourth proportional to 593.68, 819.34 and 357.68 is: 493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.68 : 819.34 = 357.68 : x
  2. Step 2: Convert to fraction form
    593.68/819.34 = 357.68/x
  3. Step 3: Cross multiply
    593.68x = 819.34 × 357.68
  4. Step 4: Simplify right side
    593.68x = 293,061.53
  5. Step 5: Solve for x
    x = 293,061.53/593.68
  6. Step 6: Final answer
    x = 493.64

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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.