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Finding the Fourth Proportional to 640.34, 957.48 and 457.16

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Solution

The fourth proportional to 640.34, 957.48 and 457.16 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.34 : 957.48 = 457.16 : x
  2. Step 2: Convert to fraction form
    640.34/957.48 = 457.16/x
  3. Step 3: Cross multiply
    640.34x = 957.48 × 457.16
  4. Step 4: Simplify right side
    640.34x = 437,716.77
  5. Step 5: Solve for x
    x = 437,716.77/640.34
  6. Step 6: Final answer
    x = 683.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.