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Finding the Fourth Proportional to 413.10, 569.43 and 334.53

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Solution

The fourth proportional to 413.10, 569.43 and 334.53 is: 461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 569.43 = 334.53 : x
  2. Step 2: Convert to fraction form
    413.10/569.43 = 334.53/x
  3. Step 3: Cross multiply
    413.10x = 569.43 × 334.53
  4. Step 4: Simplify right side
    413.10x = 190,491.42
  5. Step 5: Solve for x
    x = 190,491.42/413.10
  6. Step 6: Final answer
    x = 461.13

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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.