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Finding the Fourth Proportional to 569.66, 854.87 and 405.05

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Solution

The fourth proportional to 569.66, 854.87 and 405.05 is: 607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.66 : 854.87 = 405.05 : x
  2. Step 2: Convert to fraction form
    569.66/854.87 = 405.05/x
  3. Step 3: Cross multiply
    569.66x = 854.87 × 405.05
  4. Step 4: Simplify right side
    569.66x = 346,258.79
  5. Step 5: Solve for x
    x = 346,258.79/569.66
  6. Step 6: Final answer
    x = 607.84

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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.