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Finding the Fourth Proportional to 413.42, 570.58 and 282.70

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Solution

The fourth proportional to 413.42, 570.58 and 282.70 is: 390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 570.58 = 282.70 : x
  2. Step 2: Convert to fraction form
    413.42/570.58 = 282.70/x
  3. Step 3: Cross multiply
    413.42x = 570.58 × 282.70
  4. Step 4: Simplify right side
    413.42x = 161,302.97
  5. Step 5: Solve for x
    x = 161,302.97/413.42
  6. Step 6: Final answer
    x = 390.17

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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.