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Finding the Fourth Proportional to 593.98, 820.07 and 384.26

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Solution

The fourth proportional to 593.98, 820.07 and 384.26 is: 530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.98 : 820.07 = 384.26 : x
  2. Step 2: Convert to fraction form
    593.98/820.07 = 384.26/x
  3. Step 3: Cross multiply
    593.98x = 820.07 × 384.26
  4. Step 4: Simplify right side
    593.98x = 315,120.10
  5. Step 5: Solve for x
    x = 315,120.10/593.98
  6. Step 6: Final answer
    x = 530.52

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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.