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Finding the Fourth Proportional to 569.86, 786.54 and 360.16

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Solution

The fourth proportional to 569.86, 786.54 and 360.16 is: 497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.86 : 786.54 = 360.16 : x
  2. Step 2: Convert to fraction form
    569.86/786.54 = 360.16/x
  3. Step 3: Cross multiply
    569.86x = 786.54 × 360.16
  4. Step 4: Simplify right side
    569.86x = 283,280.25
  5. Step 5: Solve for x
    x = 283,280.25/569.86
  6. Step 6: Final answer
    x = 497.10

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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.