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Finding the Fourth Proportional to 387.36, 584.08 and 355.07

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Solution

The fourth proportional to 387.36, 584.08 and 355.07 is: 535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.36 : 584.08 = 355.07 : x
  2. Step 2: Convert to fraction form
    387.36/584.08 = 355.07/x
  3. Step 3: Cross multiply
    387.36x = 584.08 × 355.07
  4. Step 4: Simplify right side
    387.36x = 207,391.19
  5. Step 5: Solve for x
    x = 207,391.19/387.36
  6. Step 6: Final answer
    x = 535.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.