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Finding the Fourth Proportional to 456.64, 630.30 and 358.16

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Solution

The fourth proportional to 456.64, 630.30 and 358.16 is: 494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 630.30 = 358.16 : x
  2. Step 2: Convert to fraction form
    456.64/630.30 = 358.16/x
  3. Step 3: Cross multiply
    456.64x = 630.30 × 358.16
  4. Step 4: Simplify right side
    456.64x = 225,748.25
  5. Step 5: Solve for x
    x = 225,748.25/456.64
  6. Step 6: Final answer
    x = 494.37

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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.