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Finding the Fourth Proportional to 630.54, 946.02 and 265.35

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Solution

The fourth proportional to 630.54, 946.02 and 265.35 is: 398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 946.02 = 265.35 : x
  2. Step 2: Convert to fraction form
    630.54/946.02 = 265.35/x
  3. Step 3: Cross multiply
    630.54x = 946.02 × 265.35
  4. Step 4: Simplify right side
    630.54x = 251,026.41
  5. Step 5: Solve for x
    x = 251,026.41/630.54
  6. Step 6: Final answer
    x = 398.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.