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Finding the Fourth Proportional to 705.64, 973.20 and 472.72

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Solution

The fourth proportional to 705.64, 973.20 and 472.72 is: 651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.64 : 973.20 = 472.72 : x
  2. Step 2: Convert to fraction form
    705.64/973.20 = 472.72/x
  3. Step 3: Cross multiply
    705.64x = 973.20 × 472.72
  4. Step 4: Simplify right side
    705.64x = 460,051.10
  5. Step 5: Solve for x
    x = 460,051.10/705.64
  6. Step 6: Final answer
    x = 651.96

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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.