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Finding the Fourth Proportional to 569.11, 783.35 and 421.49

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Solution

The fourth proportional to 569.11, 783.35 and 421.49 is: 580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 783.35 = 421.49 : x
  2. Step 2: Convert to fraction form
    569.11/783.35 = 421.49/x
  3. Step 3: Cross multiply
    569.11x = 783.35 × 421.49
  4. Step 4: Simplify right side
    569.11x = 330,168.17
  5. Step 5: Solve for x
    x = 330,168.17/569.11
  6. Step 6: Final answer
    x = 580.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.