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Finding the Fourth Proportional to 465.56, 699.54 and 436.40

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Solution

The fourth proportional to 465.56, 699.54 and 436.40 is: 655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.56 : 699.54 = 436.40 : x
  2. Step 2: Convert to fraction form
    465.56/699.54 = 436.40/x
  3. Step 3: Cross multiply
    465.56x = 699.54 × 436.40
  4. Step 4: Simplify right side
    465.56x = 305,279.26
  5. Step 5: Solve for x
    x = 305,279.26/465.56
  6. Step 6: Final answer
    x = 655.72

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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.