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Finding the Fourth Proportional to 705.14, 973.52 and 472.40

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Solution

The fourth proportional to 705.14, 973.52 and 472.40 is: 652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.14 : 973.52 = 472.40 : x
  2. Step 2: Convert to fraction form
    705.14/973.52 = 472.40/x
  3. Step 3: Cross multiply
    705.14x = 973.52 × 472.40
  4. Step 4: Simplify right side
    705.14x = 459,883.62
  5. Step 5: Solve for x
    x = 459,883.62/705.14
  6. Step 6: Final answer
    x = 652.19

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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.