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Finding the Fourth Proportional to 420, 575.30 and 414.72

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Solution

The fourth proportional to 420, 575.30 and 414.72 is: 568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 575.30 = 414.72 : x
  2. Step 2: Convert to fraction form
    420/575.30 = 414.72/x
  3. Step 3: Cross multiply
    420x = 575.30 × 414.72
  4. Step 4: Simplify right side
    420x = 238,586.34
  5. Step 5: Solve for x
    x = 238,586.34/420
  6. Step 6: Final answer
    x = 568.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.