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Finding the Fourth Proportional to 597.24, 895.87 and 393.10

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Solution

The fourth proportional to 597.24, 895.87 and 393.10 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 895.87 = 393.10 : x
  2. Step 2: Convert to fraction form
    597.24/895.87 = 393.10/x
  3. Step 3: Cross multiply
    597.24x = 895.87 × 393.10
  4. Step 4: Simplify right side
    597.24x = 352,166.50
  5. Step 5: Solve for x
    x = 352,166.50/597.24
  6. Step 6: Final answer
    x = 589.66

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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.