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Finding the Fourth Proportional to 666.88, 920.70 and 457.40

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Solution

The fourth proportional to 666.88, 920.70 and 457.40 is: 631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.88 : 920.70 = 457.40 : x
  2. Step 2: Convert to fraction form
    666.88/920.70 = 457.40/x
  3. Step 3: Cross multiply
    666.88x = 920.70 × 457.40
  4. Step 4: Simplify right side
    666.88x = 421,128.18
  5. Step 5: Solve for x
    x = 421,128.18/666.88
  6. Step 6: Final answer
    x = 631.49

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1.5x scale

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.