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Finding the Fourth Proportional to 508.98, 701.06 and 361.34

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Solution

The fourth proportional to 508.98, 701.06 and 361.34 is: 497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.98 : 701.06 = 361.34 : x
  2. Step 2: Convert to fraction form
    508.98/701.06 = 361.34/x
  3. Step 3: Cross multiply
    508.98x = 701.06 × 361.34
  4. Step 4: Simplify right side
    508.98x = 253,321.02
  5. Step 5: Solve for x
    x = 253,321.02/508.98
  6. Step 6: Final answer
    x = 497.70

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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.