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Finding the Fourth Proportional to 483.35, 666.46 and 457.40

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Solution

The fourth proportional to 483.35, 666.46 and 457.40 is: 630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.35 : 666.46 = 457.40 : x
  2. Step 2: Convert to fraction form
    483.35/666.46 = 457.40/x
  3. Step 3: Cross multiply
    483.35x = 666.46 × 457.40
  4. Step 4: Simplify right side
    483.35x = 304,838.80
  5. Step 5: Solve for x
    x = 304,838.80/483.35
  6. Step 6: Final answer
    x = 630.68

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Why These Related Problems?

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