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Finding the Fourth Proportional to 415.65, 622.57 and 407.35

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Solution

The fourth proportional to 415.65, 622.57 and 407.35 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 622.57 = 407.35 : x
  2. Step 2: Convert to fraction form
    415.65/622.57 = 407.35/x
  3. Step 3: Cross multiply
    415.65x = 622.57 × 407.35
  4. Step 4: Simplify right side
    415.65x = 253,603.89
  5. Step 5: Solve for x
    x = 253,603.89/415.65
  6. Step 6: Final answer
    x = 610.14

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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.