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Finding the Fourth Proportional to 413.04, 570.50 and 302.36

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Solution

The fourth proportional to 413.04, 570.50 and 302.36 is: 417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 570.50 = 302.36 : x
  2. Step 2: Convert to fraction form
    413.04/570.50 = 302.36/x
  3. Step 3: Cross multiply
    413.04x = 570.50 × 302.36
  4. Step 4: Simplify right side
    413.04x = 172,496.38
  5. Step 5: Solve for x
    x = 172,496.38/413.04
  6. Step 6: Final answer
    x = 417.63

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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.