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Finding the Fourth Proportional to 507.94, 761.10 and 386.06

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Solution

The fourth proportional to 507.94, 761.10 and 386.06 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 761.10 = 386.06 : x
  2. Step 2: Convert to fraction form
    507.94/761.10 = 386.06/x
  3. Step 3: Cross multiply
    507.94x = 761.10 × 386.06
  4. Step 4: Simplify right side
    507.94x = 293,830.27
  5. Step 5: Solve for x
    x = 293,830.27/507.94
  6. Step 6: Final answer
    x = 578.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.