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Finding the Fourth Proportional to 434.70, 648 and 415.26

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Solution

The fourth proportional to 434.70, 648 and 415.26 is: 619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.70 : 648 = 415.26 : x
  2. Step 2: Convert to fraction form
    434.70/648 = 415.26/x
  3. Step 3: Cross multiply
    434.70x = 648 × 415.26
  4. Step 4: Simplify right side
    434.70x = 269,088.48
  5. Step 5: Solve for x
    x = 269,088.48/434.70
  6. Step 6: Final answer
    x = 619.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.