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Finding the Fourth Proportional to 572.66, 859.59 and 465.74

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Solution

The fourth proportional to 572.66, 859.59 and 465.74 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.66 : 859.59 = 465.74 : x
  2. Step 2: Convert to fraction form
    572.66/859.59 = 465.74/x
  3. Step 3: Cross multiply
    572.66x = 859.59 × 465.74
  4. Step 4: Simplify right side
    572.66x = 400,341.15
  5. Step 5: Solve for x
    x = 400,341.15/572.66
  6. Step 6: Final answer
    x = 699.10

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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.