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Finding the Fourth Proportional to 569.11, 852.93 and 256.53

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Solution

The fourth proportional to 569.11, 852.93 and 256.53 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 852.93 = 256.53 : x
  2. Step 2: Convert to fraction form
    569.11/852.93 = 256.53/x
  3. Step 3: Cross multiply
    569.11x = 852.93 × 256.53
  4. Step 4: Simplify right side
    569.11x = 218,802.13
  5. Step 5: Solve for x
    x = 218,802.13/569.11
  6. Step 6: Final answer
    x = 384.46

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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.