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Finding the Fourth Proportional to 547.64, 822.42 and 291.32

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Solution

The fourth proportional to 547.64, 822.42 and 291.32 is: 437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 822.42 = 291.32 : x
  2. Step 2: Convert to fraction form
    547.64/822.42 = 291.32/x
  3. Step 3: Cross multiply
    547.64x = 822.42 × 291.32
  4. Step 4: Simplify right side
    547.64x = 239,587.39
  5. Step 5: Solve for x
    x = 239,587.39/547.64
  6. Step 6: Final answer
    x = 437.49

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1.5x scale

Why These Related Problems?

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