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Finding the Fourth Proportional to 507.19, 699.88 and 297.42

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Solution

The fourth proportional to 507.19, 699.88 and 297.42 is: 410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.19 : 699.88 = 297.42 : x
  2. Step 2: Convert to fraction form
    507.19/699.88 = 297.42/x
  3. Step 3: Cross multiply
    507.19x = 699.88 × 297.42
  4. Step 4: Simplify right side
    507.19x = 208,158.31
  5. Step 5: Solve for x
    x = 208,158.31/507.19
  6. Step 6: Final answer
    x = 410.41

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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.