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Finding the Fourth Proportional to 593.83, 819.35 and 397.91

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Solution

The fourth proportional to 593.83, 819.35 and 397.91 is: 549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.83 : 819.35 = 397.91 : x
  2. Step 2: Convert to fraction form
    593.83/819.35 = 397.91/x
  3. Step 3: Cross multiply
    593.83x = 819.35 × 397.91
  4. Step 4: Simplify right side
    593.83x = 326,030.60
  5. Step 5: Solve for x
    x = 326,030.60/593.83
  6. Step 6: Final answer
    x = 549.03

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