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Finding the Fourth Proportional to 468.59, 646.62 and 258.77

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Solution

The fourth proportional to 468.59, 646.62 and 258.77 is: 357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 646.62 = 258.77 : x
  2. Step 2: Convert to fraction form
    468.59/646.62 = 258.77/x
  3. Step 3: Cross multiply
    468.59x = 646.62 × 258.77
  4. Step 4: Simplify right side
    468.59x = 167,322.62
  5. Step 5: Solve for x
    x = 167,322.62/468.59
  6. Step 6: Final answer
    x = 357.08

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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.