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Finding the Fourth Proportional to 569.63, 854.85 and 310.16

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Solution

The fourth proportional to 569.63, 854.85 and 310.16 is: 465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.63 : 854.85 = 310.16 : x
  2. Step 2: Convert to fraction form
    569.63/854.85 = 310.16/x
  3. Step 3: Cross multiply
    569.63x = 854.85 × 310.16
  4. Step 4: Simplify right side
    569.63x = 265,140.28
  5. Step 5: Solve for x
    x = 265,140.28/569.63
  6. Step 6: Final answer
    x = 465.46

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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.