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Finding the Fourth Proportional to 691.39, 954.57 and 467.50

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Solution

The fourth proportional to 691.39, 954.57 and 467.50 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.39 : 954.57 = 467.50 : x
  2. Step 2: Convert to fraction form
    691.39/954.57 = 467.50/x
  3. Step 3: Cross multiply
    691.39x = 954.57 × 467.50
  4. Step 4: Simplify right side
    691.39x = 446,261.48
  5. Step 5: Solve for x
    x = 446,261.48/691.39
  6. Step 6: Final answer
    x = 645.46

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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.