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Finding the Fourth Proportional to 595.25, 892.47 and 364.22

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Solution

The fourth proportional to 595.25, 892.47 and 364.22 is: 546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.25 : 892.47 = 364.22 : x
  2. Step 2: Convert to fraction form
    595.25/892.47 = 364.22/x
  3. Step 3: Cross multiply
    595.25x = 892.47 × 364.22
  4. Step 4: Simplify right side
    595.25x = 325,055.42
  5. Step 5: Solve for x
    x = 325,055.42/595.25
  6. Step 6: Final answer
    x = 546.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.