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Finding the Fourth Proportional to 469.41, 704.35 and 354.56

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Solution

The fourth proportional to 469.41, 704.35 and 354.56 is: 532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.41 : 704.35 = 354.56 : x
  2. Step 2: Convert to fraction form
    469.41/704.35 = 354.56/x
  3. Step 3: Cross multiply
    469.41x = 704.35 × 354.56
  4. Step 4: Simplify right side
    469.41x = 249,729.93
  5. Step 5: Solve for x
    x = 249,729.93/469.41
  6. Step 6: Final answer
    x = 532.01

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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.