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Finding the Fourth Proportional to 595.94, 895.28 and 423.02

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Solution

The fourth proportional to 595.94, 895.28 and 423.02 is: 635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.94 : 895.28 = 423.02 : x
  2. Step 2: Convert to fraction form
    595.94/895.28 = 423.02/x
  3. Step 3: Cross multiply
    595.94x = 895.28 × 423.02
  4. Step 4: Simplify right side
    595.94x = 378,721.47
  5. Step 5: Solve for x
    x = 378,721.47/595.94
  6. Step 6: Final answer
    x = 635.51

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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.