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Finding the Fourth Proportional to 569.54, 786 and 380.16

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Solution

The fourth proportional to 569.54, 786 and 380.16 is: 524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.54 : 786 = 380.16 : x
  2. Step 2: Convert to fraction form
    569.54/786 = 380.16/x
  3. Step 3: Cross multiply
    569.54x = 786 × 380.16
  4. Step 4: Simplify right side
    569.54x = 298,805.76
  5. Step 5: Solve for x
    x = 298,805.76/569.54
  6. Step 6: Final answer
    x = 524.64

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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.