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Finding the Fourth Proportional to 457.16, 630.98 and 309.80

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Solution

The fourth proportional to 457.16, 630.98 and 309.80 is: 427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.16 : 630.98 = 309.80 : x
  2. Step 2: Convert to fraction form
    457.16/630.98 = 309.80/x
  3. Step 3: Cross multiply
    457.16x = 630.98 × 309.80
  4. Step 4: Simplify right side
    457.16x = 195,477.60
  5. Step 5: Solve for x
    x = 195,477.60/457.16
  6. Step 6: Final answer
    x = 427.59

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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.