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Finding the Fourth Proportional to 595.44, 821.70 and 421.02

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Solution

The fourth proportional to 595.44, 821.70 and 421.02 is: 581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 821.70 = 421.02 : x
  2. Step 2: Convert to fraction form
    595.44/821.70 = 421.02/x
  3. Step 3: Cross multiply
    595.44x = 821.70 × 421.02
  4. Step 4: Simplify right side
    595.44x = 345,952.13
  5. Step 5: Solve for x
    x = 345,952.13/595.44
  6. Step 6: Final answer
    x = 581.00

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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.