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Finding the Fourth Proportional to 594.66, 895.22 and 535.13

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Solution

The fourth proportional to 594.66, 895.22 and 535.13 is: 805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.66 : 895.22 = 535.13 : x
  2. Step 2: Convert to fraction form
    594.66/895.22 = 535.13/x
  3. Step 3: Cross multiply
    594.66x = 895.22 × 535.13
  4. Step 4: Simplify right side
    594.66x = 479,051.93
  5. Step 5: Solve for x
    x = 479,051.93/594.66
  6. Step 6: Final answer
    x = 805.59

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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.