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Finding the Fourth Proportional to 704.40, 1,056.86 and 339.48

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Solution

The fourth proportional to 704.40, 1,056.86 and 339.48 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 1,056.86 = 339.48 : x
  2. Step 2: Convert to fraction form
    704.40/1,056.86 = 339.48/x
  3. Step 3: Cross multiply
    704.40x = 1,056.86 × 339.48
  4. Step 4: Simplify right side
    704.40x = 358,782.83
  5. Step 5: Solve for x
    x = 358,782.83/704.40
  6. Step 6: Final answer
    x = 509.35

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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.