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Finding the Fourth Proportional to 595.91, 823.35 and 529.83

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Solution

The fourth proportional to 595.91, 823.35 and 529.83 is: 732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.91 : 823.35 = 529.83 : x
  2. Step 2: Convert to fraction form
    595.91/823.35 = 529.83/x
  3. Step 3: Cross multiply
    595.91x = 823.35 × 529.83
  4. Step 4: Simplify right side
    595.91x = 436,235.53
  5. Step 5: Solve for x
    x = 436,235.53/595.91
  6. Step 6: Final answer
    x = 732.06

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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.