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Finding the Fourth Proportional to 705.58, 974.10 and 469.46

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Solution

The fourth proportional to 705.58, 974.10 and 469.46 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.58 : 974.10 = 469.46 : x
  2. Step 2: Convert to fraction form
    705.58/974.10 = 469.46/x
  3. Step 3: Cross multiply
    705.58x = 974.10 × 469.46
  4. Step 4: Simplify right side
    705.58x = 457,300.99
  5. Step 5: Solve for x
    x = 457,300.99/705.58
  6. Step 6: Final answer
    x = 648.13

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