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Finding the Fourth Proportional to 595.15, 821.41 and 374.22

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Solution

The fourth proportional to 595.15, 821.41 and 374.22 is: 516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.15 : 821.41 = 374.22 : x
  2. Step 2: Convert to fraction form
    595.15/821.41 = 374.22/x
  3. Step 3: Cross multiply
    595.15x = 821.41 × 374.22
  4. Step 4: Simplify right side
    595.15x = 307,387.11
  5. Step 5: Solve for x
    x = 307,387.11/595.15
  6. Step 6: Final answer
    x = 516.49

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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.