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Finding the Fourth Proportional to 469.76, 704.16 and 286.64

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Solution

The fourth proportional to 469.76, 704.16 and 286.64 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 704.16 = 286.64 : x
  2. Step 2: Convert to fraction form
    469.76/704.16 = 286.64/x
  3. Step 3: Cross multiply
    469.76x = 704.16 × 286.64
  4. Step 4: Simplify right side
    469.76x = 201,840.42
  5. Step 5: Solve for x
    x = 201,840.42/469.76
  6. Step 6: Final answer
    x = 429.67

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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.