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Finding the Fourth Proportional to 631.02, 946.51 and 175.02

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Solution

The fourth proportional to 631.02, 946.51 and 175.02 is: 262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.02 : 946.51 = 175.02 : x
  2. Step 2: Convert to fraction form
    631.02/946.51 = 175.02/x
  3. Step 3: Cross multiply
    631.02x = 946.51 × 175.02
  4. Step 4: Simplify right side
    631.02x = 165,658.18
  5. Step 5: Solve for x
    x = 165,658.18/631.02
  6. Step 6: Final answer
    x = 262.52

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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.