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Finding the Fourth Proportional to 413.74, 569.46 and 303.04

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Solution

The fourth proportional to 413.74, 569.46 and 303.04 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.74 : 569.46 = 303.04 : x
  2. Step 2: Convert to fraction form
    413.74/569.46 = 303.04/x
  3. Step 3: Cross multiply
    413.74x = 569.46 × 303.04
  4. Step 4: Simplify right side
    413.74x = 172,569.16
  5. Step 5: Solve for x
    x = 172,569.16/413.74
  6. Step 6: Final answer
    x = 417.10

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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.