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Finding the Fourth Proportional to 466.16, 696.73 and 407.13

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Solution

The fourth proportional to 466.16, 696.73 and 407.13 is: 608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.16 : 696.73 = 407.13 : x
  2. Step 2: Convert to fraction form
    466.16/696.73 = 407.13/x
  3. Step 3: Cross multiply
    466.16x = 696.73 × 407.13
  4. Step 4: Simplify right side
    466.16x = 283,661.43
  5. Step 5: Solve for x
    x = 283,661.43/466.16
  6. Step 6: Final answer
    x = 608.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.