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Finding the Fourth Proportional to 420.39, 575.10 and 413.10

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Solution

The fourth proportional to 420.39, 575.10 and 413.10 is: 565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.39 : 575.10 = 413.10 : x
  2. Step 2: Convert to fraction form
    420.39/575.10 = 413.10/x
  3. Step 3: Cross multiply
    420.39x = 575.10 × 413.10
  4. Step 4: Simplify right side
    420.39x = 237,573.81
  5. Step 5: Solve for x
    x = 237,573.81/420.39
  6. Step 6: Final answer
    x = 565.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.