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Finding the Fourth Proportional to 457.43, 631.58 and 413.08

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Solution

The fourth proportional to 457.43, 631.58 and 413.08 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.43 : 631.58 = 413.08 : x
  2. Step 2: Convert to fraction form
    457.43/631.58 = 413.08/x
  3. Step 3: Cross multiply
    457.43x = 631.58 × 413.08
  4. Step 4: Simplify right side
    457.43x = 260,893.07
  5. Step 5: Solve for x
    x = 260,893.07/457.43
  6. Step 6: Final answer
    x = 570.35

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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.