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Finding the Fourth Proportional to 513.02, 708.36 and 402.29

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Solution

The fourth proportional to 513.02, 708.36 and 402.29 is: 555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 708.36 = 402.29 : x
  2. Step 2: Convert to fraction form
    513.02/708.36 = 402.29/x
  3. Step 3: Cross multiply
    513.02x = 708.36 × 402.29
  4. Step 4: Simplify right side
    513.02x = 284,962.60
  5. Step 5: Solve for x
    x = 284,962.60/513.02
  6. Step 6: Final answer
    x = 555.47

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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.