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Finding the Fourth Proportional to 595.23, 820.70 and 512.19

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Solution

The fourth proportional to 595.23, 820.70 and 512.19 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.23 : 820.70 = 512.19 : x
  2. Step 2: Convert to fraction form
    595.23/820.70 = 512.19/x
  3. Step 3: Cross multiply
    595.23x = 820.70 × 512.19
  4. Step 4: Simplify right side
    595.23x = 420,358.21
  5. Step 5: Solve for x
    x = 420,358.21/595.23
  6. Step 6: Final answer
    x = 706.21

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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.