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Finding the Fourth Proportional to 469.89, 704.70 and 287.10

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Solution

The fourth proportional to 469.89, 704.70 and 287.10 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 704.70 = 287.10 : x
  2. Step 2: Convert to fraction form
    469.89/704.70 = 287.10/x
  3. Step 3: Cross multiply
    469.89x = 704.70 × 287.10
  4. Step 4: Simplify right side
    469.89x = 202,319.37
  5. Step 5: Solve for x
    x = 202,319.37/469.89
  6. Step 6: Final answer
    x = 430.57

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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.