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Finding the Fourth Proportional to 595.16, 895.97 and 535.63

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Solution

The fourth proportional to 595.16, 895.97 and 535.63 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 895.97 = 535.63 : x
  2. Step 2: Convert to fraction form
    595.16/895.97 = 535.63/x
  3. Step 3: Cross multiply
    595.16x = 895.97 × 535.63
  4. Step 4: Simplify right side
    595.16x = 479,903.93
  5. Step 5: Solve for x
    x = 479,903.93/595.16
  6. Step 6: Final answer
    x = 806.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.