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Finding the Fourth Proportional to 569.86, 786.53 and 337.02

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Solution

The fourth proportional to 569.86, 786.53 and 337.02 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.86 : 786.53 = 337.02 : x
  2. Step 2: Convert to fraction form
    569.86/786.53 = 337.02/x
  3. Step 3: Cross multiply
    569.86x = 786.53 × 337.02
  4. Step 4: Simplify right side
    569.86x = 265,076.34
  5. Step 5: Solve for x
    x = 265,076.34/569.86
  6. Step 6: Final answer
    x = 465.16

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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.