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Finding the Fourth Proportional to 387.92, 584 and 335

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Solution

The fourth proportional to 387.92, 584 and 335 is: 504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.92 : 584 = 335 : x
  2. Step 2: Convert to fraction form
    387.92/584 = 335/x
  3. Step 3: Cross multiply
    387.92x = 584 × 335
  4. Step 4: Simplify right side
    387.92x = 195,640
  5. Step 5: Solve for x
    x = 195,640/387.92
  6. Step 6: Final answer
    x = 504.33

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Why These Related Problems?

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