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Finding the Fourth Proportional to 570.98, 853 and 363.90

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Solution

The fourth proportional to 570.98, 853 and 363.90 is: 543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.98 : 853 = 363.90 : x
  2. Step 2: Convert to fraction form
    570.98/853 = 363.90/x
  3. Step 3: Cross multiply
    570.98x = 853 × 363.90
  4. Step 4: Simplify right side
    570.98x = 310,406.70
  5. Step 5: Solve for x
    x = 310,406.70/570.98
  6. Step 6: Final answer
    x = 543.64

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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.