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Finding the Fourth Proportional to 413.56, 570 and 302.88

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Solution

The fourth proportional to 413.56, 570 and 302.88 is: 417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.56 : 570 = 302.88 : x
  2. Step 2: Convert to fraction form
    413.56/570 = 302.88/x
  3. Step 3: Cross multiply
    413.56x = 570 × 302.88
  4. Step 4: Simplify right side
    413.56x = 172,641.60
  5. Step 5: Solve for x
    x = 172,641.60/413.56
  6. Step 6: Final answer
    x = 417.45

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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.