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Finding the Fourth Proportional to 575.88, 795.46 and 506.18

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Solution

The fourth proportional to 575.88, 795.46 and 506.18 is: 699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.88 : 795.46 = 506.18 : x
  2. Step 2: Convert to fraction form
    575.88/795.46 = 506.18/x
  3. Step 3: Cross multiply
    575.88x = 795.46 × 506.18
  4. Step 4: Simplify right side
    575.88x = 402,645.94
  5. Step 5: Solve for x
    x = 402,645.94/575.88
  6. Step 6: Final answer
    x = 699.18

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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.