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Finding the Fourth Proportional to 630.45, 946.01 and 265.01

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Solution

The fourth proportional to 630.45, 946.01 and 265.01 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.45 : 946.01 = 265.01 : x
  2. Step 2: Convert to fraction form
    630.45/946.01 = 265.01/x
  3. Step 3: Cross multiply
    630.45x = 946.01 × 265.01
  4. Step 4: Simplify right side
    630.45x = 250,698.04
  5. Step 5: Solve for x
    x = 250,698.04/630.45
  6. Step 6: Final answer
    x = 397.65

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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.