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Finding the Fourth Proportional to 375.50, 559.76 and 354.98

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Solution

The fourth proportional to 375.50, 559.76 and 354.98 is: 529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.50 : 559.76 = 354.98 : x
  2. Step 2: Convert to fraction form
    375.50/559.76 = 354.98/x
  3. Step 3: Cross multiply
    375.50x = 559.76 × 354.98
  4. Step 4: Simplify right side
    375.50x = 198,705.23
  5. Step 5: Solve for x
    x = 198,705.23/375.50
  6. Step 6: Final answer
    x = 529.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.