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Finding the Fourth Proportional to 595.44, 822 and 465.12

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Solution

The fourth proportional to 595.44, 822 and 465.12 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 822 = 465.12 : x
  2. Step 2: Convert to fraction form
    595.44/822 = 465.12/x
  3. Step 3: Cross multiply
    595.44x = 822 × 465.12
  4. Step 4: Simplify right side
    595.44x = 382,328.64
  5. Step 5: Solve for x
    x = 382,328.64/595.44
  6. Step 6: Final answer
    x = 642.09

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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.