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Finding the Fourth Proportional to 507, 699.64 and 285.94

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Solution

The fourth proportional to 507, 699.64 and 285.94 is: 394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 699.64 = 285.94 : x
  2. Step 2: Convert to fraction form
    507/699.64 = 285.94/x
  3. Step 3: Cross multiply
    507x = 699.64 × 285.94
  4. Step 4: Simplify right side
    507x = 200,055.06
  5. Step 5: Solve for x
    x = 200,055.06/507
  6. Step 6: Final answer
    x = 394.59

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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.