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Finding the Fourth Proportional to 946.78, 1,420.47 and 297.58

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Solution

The fourth proportional to 946.78, 1,420.47 and 297.58 is: 446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.78 : 1,420.47 = 297.58 : x
  2. Step 2: Convert to fraction form
    946.78/1,420.47 = 297.58/x
  3. Step 3: Cross multiply
    946.78x = 1,420.47 × 297.58
  4. Step 4: Simplify right side
    946.78x = 422,703.46
  5. Step 5: Solve for x
    x = 422,703.46/946.78
  6. Step 6: Final answer
    x = 446.46

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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.