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Finding the Fourth Proportional to 420, 579.64 and 264.72

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Solution

The fourth proportional to 420, 579.64 and 264.72 is: 365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 579.64 = 264.72 : x
  2. Step 2: Convert to fraction form
    420/579.64 = 264.72/x
  3. Step 3: Cross multiply
    420x = 579.64 × 264.72
  4. Step 4: Simplify right side
    420x = 153,442.30
  5. Step 5: Solve for x
    x = 153,442.30/420
  6. Step 6: Final answer
    x = 365.34

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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.