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Finding the Fourth Proportional to 597.55, 895.65 and 323.14

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Solution

The fourth proportional to 597.55, 895.65 and 323.14 is: 484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.55 : 895.65 = 323.14 : x
  2. Step 2: Convert to fraction form
    597.55/895.65 = 323.14/x
  3. Step 3: Cross multiply
    597.55x = 895.65 × 323.14
  4. Step 4: Simplify right side
    597.55x = 289,420.34
  5. Step 5: Solve for x
    x = 289,420.34/597.55
  6. Step 6: Final answer
    x = 484.34

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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.