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Finding the Fourth Proportional to 595.42, 821.64 and 371.32

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Solution

The fourth proportional to 595.42, 821.64 and 371.32 is: 512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.42 : 821.64 = 371.32 : x
  2. Step 2: Convert to fraction form
    595.42/821.64 = 371.32/x
  3. Step 3: Cross multiply
    595.42x = 821.64 × 371.32
  4. Step 4: Simplify right side
    595.42x = 305,091.36
  5. Step 5: Solve for x
    x = 305,091.36/595.42
  6. Step 6: Final answer
    x = 512.40

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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.