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Finding the Fourth Proportional to 456.44, 681.58 and 430.84

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Solution

The fourth proportional to 456.44, 681.58 and 430.84 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.44 : 681.58 = 430.84 : x
  2. Step 2: Convert to fraction form
    456.44/681.58 = 430.84/x
  3. Step 3: Cross multiply
    456.44x = 681.58 × 430.84
  4. Step 4: Simplify right side
    456.44x = 293,651.93
  5. Step 5: Solve for x
    x = 293,651.93/456.44
  6. Step 6: Final answer
    x = 643.35

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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.