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Finding the Fourth Proportional to 694.19, 957.64 and 458.22

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Solution

The fourth proportional to 694.19, 957.64 and 458.22 is: 632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.19 : 957.64 = 458.22 : x
  2. Step 2: Convert to fraction form
    694.19/957.64 = 458.22/x
  3. Step 3: Cross multiply
    694.19x = 957.64 × 458.22
  4. Step 4: Simplify right side
    694.19x = 438,813.11
  5. Step 5: Solve for x
    x = 438,813.11/694.19
  6. Step 6: Final answer
    x = 632.13

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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.