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Finding the Fourth Proportional to 569.16, 785.46 and 543.24

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Solution

The fourth proportional to 569.16, 785.46 and 543.24 is: 749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 785.46 = 543.24 : x
  2. Step 2: Convert to fraction form
    569.16/785.46 = 543.24/x
  3. Step 3: Cross multiply
    569.16x = 785.46 × 543.24
  4. Step 4: Simplify right side
    569.16x = 426,693.29
  5. Step 5: Solve for x
    x = 426,693.29/569.16
  6. Step 6: Final answer
    x = 749.69

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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.