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Finding the Fourth Proportional to 434.02, 651.75 and 405.22

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Solution

The fourth proportional to 434.02, 651.75 and 405.22 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.02 : 651.75 = 405.22 : x
  2. Step 2: Convert to fraction form
    434.02/651.75 = 405.22/x
  3. Step 3: Cross multiply
    434.02x = 651.75 × 405.22
  4. Step 4: Simplify right side
    434.02x = 264,102.14
  5. Step 5: Solve for x
    x = 264,102.14/434.02
  6. Step 6: Final answer
    x = 608.50

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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.