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Finding the Fourth Proportional to 569.95, 853.70 and 433.06

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Solution

The fourth proportional to 569.95, 853.70 and 433.06 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 853.70 = 433.06 : x
  2. Step 2: Convert to fraction form
    569.95/853.70 = 433.06/x
  3. Step 3: Cross multiply
    569.95x = 853.70 × 433.06
  4. Step 4: Simplify right side
    569.95x = 369,699.05
  5. Step 5: Solve for x
    x = 369,699.05/569.95
  6. Step 6: Final answer
    x = 648.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.