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Finding the Fourth Proportional to 602.85, 904.28 and 559.65

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Solution

The fourth proportional to 602.85, 904.28 and 559.65 is: 839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.85 : 904.28 = 559.65 : x
  2. Step 2: Convert to fraction form
    602.85/904.28 = 559.65/x
  3. Step 3: Cross multiply
    602.85x = 904.28 × 559.65
  4. Step 4: Simplify right side
    602.85x = 506,077.50
  5. Step 5: Solve for x
    x = 506,077.50/602.85
  6. Step 6: Final answer
    x = 839.48

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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.