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Finding the Fourth Proportional to 569.74, 853.98 and 407.74

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Solution

The fourth proportional to 569.74, 853.98 and 407.74 is: 611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.74 : 853.98 = 407.74 : x
  2. Step 2: Convert to fraction form
    569.74/853.98 = 407.74/x
  3. Step 3: Cross multiply
    569.74x = 853.98 × 407.74
  4. Step 4: Simplify right side
    569.74x = 348,201.81
  5. Step 5: Solve for x
    x = 348,201.81/569.74
  6. Step 6: Final answer
    x = 611.16

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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.