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Finding the Fourth Proportional to 472.59, 650.55 and 410.05

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Solution

The fourth proportional to 472.59, 650.55 and 410.05 is: 564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.59 : 650.55 = 410.05 : x
  2. Step 2: Convert to fraction form
    472.59/650.55 = 410.05/x
  3. Step 3: Cross multiply
    472.59x = 650.55 × 410.05
  4. Step 4: Simplify right side
    472.59x = 266,756.40
  5. Step 5: Solve for x
    x = 266,756.40/472.59
  6. Step 6: Final answer
    x = 564.46

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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.