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Finding the Fourth Proportional to 595.53, 822.02 and 427.63

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Solution

The fourth proportional to 595.53, 822.02 and 427.63 is: 590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.53 : 822.02 = 427.63 : x
  2. Step 2: Convert to fraction form
    595.53/822.02 = 427.63/x
  3. Step 3: Cross multiply
    595.53x = 822.02 × 427.63
  4. Step 4: Simplify right side
    595.53x = 351,521.37
  5. Step 5: Solve for x
    x = 351,521.37/595.53
  6. Step 6: Final answer
    x = 590.27

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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.