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Finding the Fourth Proportional to 413.74, 619.71 and 358.17

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Solution

The fourth proportional to 413.74, 619.71 and 358.17 is: 536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.74 : 619.71 = 358.17 : x
  2. Step 2: Convert to fraction form
    413.74/619.71 = 358.17/x
  3. Step 3: Cross multiply
    413.74x = 619.71 × 358.17
  4. Step 4: Simplify right side
    413.74x = 221,961.53
  5. Step 5: Solve for x
    x = 221,961.53/413.74
  6. Step 6: Final answer
    x = 536.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.