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Finding the Fourth Proportional to 456.48, 630.23 and 406.53

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Solution

The fourth proportional to 456.48, 630.23 and 406.53 is: 561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 630.23 = 406.53 : x
  2. Step 2: Convert to fraction form
    456.48/630.23 = 406.53/x
  3. Step 3: Cross multiply
    456.48x = 630.23 × 406.53
  4. Step 4: Simplify right side
    456.48x = 256,205.37
  5. Step 5: Solve for x
    x = 256,205.37/456.48
  6. Step 6: Final answer
    x = 561.26

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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.