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Finding the Fourth Proportional to 569.95, 786.60 and 360.16

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Solution

The fourth proportional to 569.95, 786.60 and 360.16 is: 497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 786.60 = 360.16 : x
  2. Step 2: Convert to fraction form
    569.95/786.60 = 360.16/x
  3. Step 3: Cross multiply
    569.95x = 786.60 × 360.16
  4. Step 4: Simplify right side
    569.95x = 283,301.86
  5. Step 5: Solve for x
    x = 283,301.86/569.95
  6. Step 6: Final answer
    x = 497.06

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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.