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Finding the Fourth Proportional to 372.51, 511.07 and 362.93

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Solution

The fourth proportional to 372.51, 511.07 and 362.93 is: 497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.51 : 511.07 = 362.93 : x
  2. Step 2: Convert to fraction form
    372.51/511.07 = 362.93/x
  3. Step 3: Cross multiply
    372.51x = 511.07 × 362.93
  4. Step 4: Simplify right side
    372.51x = 185,478.27
  5. Step 5: Solve for x
    x = 185,478.27/372.51
  6. Step 6: Final answer
    x = 497.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.