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Finding the Fourth Proportional to 569.94, 854.10 and 416.22

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Solution

The fourth proportional to 569.94, 854.10 and 416.22 is: 623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.94 : 854.10 = 416.22 : x
  2. Step 2: Convert to fraction form
    569.94/854.10 = 416.22/x
  3. Step 3: Cross multiply
    569.94x = 854.10 × 416.22
  4. Step 4: Simplify right side
    569.94x = 355,493.50
  5. Step 5: Solve for x
    x = 355,493.50/569.94
  6. Step 6: Final answer
    x = 623.74

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Why These Related Problems?

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