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Finding the Fourth Proportional to 456.84, 630.42 and 301.64

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Solution

The fourth proportional to 456.84, 630.42 and 301.64 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 630.42 = 301.64 : x
  2. Step 2: Convert to fraction form
    456.84/630.42 = 301.64/x
  3. Step 3: Cross multiply
    456.84x = 630.42 × 301.64
  4. Step 4: Simplify right side
    456.84x = 190,159.89
  5. Step 5: Solve for x
    x = 190,159.89/456.84
  6. Step 6: Final answer
    x = 416.25

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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.