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Finding the Fourth Proportional to 513.54, 707.16 and 424.36

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Solution

The fourth proportional to 513.54, 707.16 and 424.36 is: 584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 707.16 = 424.36 : x
  2. Step 2: Convert to fraction form
    513.54/707.16 = 424.36/x
  3. Step 3: Cross multiply
    513.54x = 707.16 × 424.36
  4. Step 4: Simplify right side
    513.54x = 300,088.92
  5. Step 5: Solve for x
    x = 300,088.92/513.54
  6. Step 6: Final answer
    x = 584.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.