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Finding the Fourth Proportional to 476.16, 657.63 and 413.66

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Solution

The fourth proportional to 476.16, 657.63 and 413.66 is: 571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 657.63 = 413.66 : x
  2. Step 2: Convert to fraction form
    476.16/657.63 = 413.66/x
  3. Step 3: Cross multiply
    476.16x = 657.63 × 413.66
  4. Step 4: Simplify right side
    476.16x = 272,031.94
  5. Step 5: Solve for x
    x = 272,031.94/476.16
  6. Step 6: Final answer
    x = 571.30

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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.