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Finding the Fourth Proportional to 468.16, 700.88 and 353.08

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Solution

The fourth proportional to 468.16, 700.88 and 353.08 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 700.88 = 353.08 : x
  2. Step 2: Convert to fraction form
    468.16/700.88 = 353.08/x
  3. Step 3: Cross multiply
    468.16x = 700.88 × 353.08
  4. Step 4: Simplify right side
    468.16x = 247,466.71
  5. Step 5: Solve for x
    x = 247,466.71/468.16
  6. Step 6: Final answer
    x = 528.59

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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.