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Finding the Fourth Proportional to 420.20, 579.93 and 302.56

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Solution

The fourth proportional to 420.20, 579.93 and 302.56 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.20 : 579.93 = 302.56 : x
  2. Step 2: Convert to fraction form
    420.20/579.93 = 302.56/x
  3. Step 3: Cross multiply
    420.20x = 579.93 × 302.56
  4. Step 4: Simplify right side
    420.20x = 175,462.93
  5. Step 5: Solve for x
    x = 175,462.93/420.20
  6. Step 6: Final answer
    x = 417.58

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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.