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Finding the Fourth Proportional to 456.84, 630.54 and 332.64

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Solution

The fourth proportional to 456.84, 630.54 and 332.64 is: 459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 630.54 = 332.64 : x
  2. Step 2: Convert to fraction form
    456.84/630.54 = 332.64/x
  3. Step 3: Cross multiply
    456.84x = 630.54 × 332.64
  4. Step 4: Simplify right side
    456.84x = 209,742.83
  5. Step 5: Solve for x
    x = 209,742.83/456.84
  6. Step 6: Final answer
    x = 459.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.