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Finding the Fourth Proportional to 595.14, 821.44 and 418.98

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Solution

The fourth proportional to 595.14, 821.44 and 418.98 is: 578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 821.44 = 418.98 : x
  2. Step 2: Convert to fraction form
    595.14/821.44 = 418.98/x
  3. Step 3: Cross multiply
    595.14x = 821.44 × 418.98
  4. Step 4: Simplify right side
    595.14x = 344,166.93
  5. Step 5: Solve for x
    x = 344,166.93/595.14
  6. Step 6: Final answer
    x = 578.30

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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.