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Finding the Fourth Proportional to 597.04, 895.72 and 539.92

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Solution

The fourth proportional to 597.04, 895.72 and 539.92 is: 810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.04 : 895.72 = 539.92 : x
  2. Step 2: Convert to fraction form
    597.04/895.72 = 539.92/x
  3. Step 3: Cross multiply
    597.04x = 895.72 × 539.92
  4. Step 4: Simplify right side
    597.04x = 483,617.14
  5. Step 5: Solve for x
    x = 483,617.14/597.04
  6. Step 6: Final answer
    x = 810.02

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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.