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Finding the Fourth Proportional to 569.75, 786.57 and 436.72

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Solution

The fourth proportional to 569.75, 786.57 and 436.72 is: 602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 786.57 = 436.72 : x
  2. Step 2: Convert to fraction form
    569.75/786.57 = 436.72/x
  3. Step 3: Cross multiply
    569.75x = 786.57 × 436.72
  4. Step 4: Simplify right side
    569.75x = 343,510.85
  5. Step 5: Solve for x
    x = 343,510.85/569.75
  6. Step 6: Final answer
    x = 602.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.