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Finding the Fourth Proportional to 465.39, 696.72 and 291.50

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Solution

The fourth proportional to 465.39, 696.72 and 291.50 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 696.72 = 291.50 : x
  2. Step 2: Convert to fraction form
    465.39/696.72 = 291.50/x
  3. Step 3: Cross multiply
    465.39x = 696.72 × 291.50
  4. Step 4: Simplify right side
    465.39x = 203,094.10
  5. Step 5: Solve for x
    x = 203,094.10/465.39
  6. Step 6: Final answer
    x = 436.40

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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.