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Finding the Fourth Proportional to 704.10, 1,056.40 and 357.17

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Solution

The fourth proportional to 704.10, 1,056.40 and 357.17 is: 535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 1,056.40 = 357.17 : x
  2. Step 2: Convert to fraction form
    704.10/1,056.40 = 357.17/x
  3. Step 3: Cross multiply
    704.10x = 1,056.40 × 357.17
  4. Step 4: Simplify right side
    704.10x = 377,307.32
  5. Step 5: Solve for x
    x = 377,307.32/704.10
  6. Step 6: Final answer
    x = 535.88

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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.