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Finding the Fourth Proportional to 596.65, 895.81 and 473.33

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Solution

The fourth proportional to 596.65, 895.81 and 473.33 is: 710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.65 : 895.81 = 473.33 : x
  2. Step 2: Convert to fraction form
    596.65/895.81 = 473.33/x
  3. Step 3: Cross multiply
    596.65x = 895.81 × 473.33
  4. Step 4: Simplify right side
    596.65x = 424,010.65
  5. Step 5: Solve for x
    x = 424,010.65/596.65
  6. Step 6: Final answer
    x = 710.65

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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.