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Finding the Fourth Proportional to 420.10, 579.62 and 264.76

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Solution

The fourth proportional to 420.10, 579.62 and 264.76 is: 365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.10 : 579.62 = 264.76 : x
  2. Step 2: Convert to fraction form
    420.10/579.62 = 264.76/x
  3. Step 3: Cross multiply
    420.10x = 579.62 × 264.76
  4. Step 4: Simplify right side
    420.10x = 153,460.19
  5. Step 5: Solve for x
    x = 153,460.19/420.10
  6. Step 6: Final answer
    x = 365.29

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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.