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Finding the Fourth Proportional to 676.02, 931.53 and 466.26

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Solution

The fourth proportional to 676.02, 931.53 and 466.26 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.02 : 931.53 = 466.26 : x
  2. Step 2: Convert to fraction form
    676.02/931.53 = 466.26/x
  3. Step 3: Cross multiply
    676.02x = 931.53 × 466.26
  4. Step 4: Simplify right side
    676.02x = 434,335.18
  5. Step 5: Solve for x
    x = 434,335.18/676.02
  6. Step 6: Final answer
    x = 642.49

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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.