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Finding the Fourth Proportional to 920.16, 1,379.30 and 457.22

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Solution

The fourth proportional to 920.16, 1,379.30 and 457.22 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.16 : 1,379.30 = 457.22 : x
  2. Step 2: Convert to fraction form
    920.16/1,379.30 = 457.22/x
  3. Step 3: Cross multiply
    920.16x = 1,379.30 × 457.22
  4. Step 4: Simplify right side
    920.16x = 630,643.55
  5. Step 5: Solve for x
    x = 630,643.55/920.16
  6. Step 6: Final answer
    x = 685.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.