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Finding the Fourth Proportional to 469.98, 706.59 and 434.34

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Solution

The fourth proportional to 469.98, 706.59 and 434.34 is: 653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.98 : 706.59 = 434.34 : x
  2. Step 2: Convert to fraction form
    469.98/706.59 = 434.34/x
  3. Step 3: Cross multiply
    469.98x = 706.59 × 434.34
  4. Step 4: Simplify right side
    469.98x = 306,900.30
  5. Step 5: Solve for x
    x = 306,900.30/469.98
  6. Step 6: Final answer
    x = 653.01

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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.