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Finding the Fourth Proportional to 595.98, 822.24 and 421.56

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Solution

The fourth proportional to 595.98, 822.24 and 421.56 is: 581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.98 : 822.24 = 421.56 : x
  2. Step 2: Convert to fraction form
    595.98/822.24 = 421.56/x
  3. Step 3: Cross multiply
    595.98x = 822.24 × 421.56
  4. Step 4: Simplify right side
    595.98x = 346,623.49
  5. Step 5: Solve for x
    x = 346,623.49/595.98
  6. Step 6: Final answer
    x = 581.60

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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.