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Finding the Fourth Proportional to 596.04, 820.58 and 565.26

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Solution

The fourth proportional to 596.04, 820.58 and 565.26 is: 778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 820.58 = 565.26 : x
  2. Step 2: Convert to fraction form
    596.04/820.58 = 565.26/x
  3. Step 3: Cross multiply
    596.04x = 820.58 × 565.26
  4. Step 4: Simplify right side
    596.04x = 463,838.22
  5. Step 5: Solve for x
    x = 463,838.22/596.04
  6. Step 6: Final answer
    x = 778.20

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Double scale
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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.