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Finding the Fourth Proportional to 595.08, 895.86 and 535.50

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Solution

The fourth proportional to 595.08, 895.86 and 535.50 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.08 : 895.86 = 535.50 : x
  2. Step 2: Convert to fraction form
    595.08/895.86 = 535.50/x
  3. Step 3: Cross multiply
    595.08x = 895.86 × 535.50
  4. Step 4: Simplify right side
    595.08x = 479,733.03
  5. Step 5: Solve for x
    x = 479,733.03/595.08
  6. Step 6: Final answer
    x = 806.17

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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.