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Finding the Fourth Proportional to 705.02, 972.48 and 442.58

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Solution

The fourth proportional to 705.02, 972.48 and 442.58 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 972.48 = 442.58 : x
  2. Step 2: Convert to fraction form
    705.02/972.48 = 442.58/x
  3. Step 3: Cross multiply
    705.02x = 972.48 × 442.58
  4. Step 4: Simplify right side
    705.02x = 430,395.34
  5. Step 5: Solve for x
    x = 430,395.34/705.02
  6. Step 6: Final answer
    x = 610.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.