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Finding the Fourth Proportional to 413.10, 570.51 and 339.93

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Solution

The fourth proportional to 413.10, 570.51 and 339.93 is: 469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 570.51 = 339.93 : x
  2. Step 2: Convert to fraction form
    413.10/570.51 = 339.93/x
  3. Step 3: Cross multiply
    413.10x = 570.51 × 339.93
  4. Step 4: Simplify right side
    413.10x = 193,933.46
  5. Step 5: Solve for x
    x = 193,933.46/413.10
  6. Step 6: Final answer
    x = 469.46

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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.