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Finding the Fourth Proportional to 473.60, 708.99 and 352.40

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Solution

The fourth proportional to 473.60, 708.99 and 352.40 is: 527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.60 : 708.99 = 352.40 : x
  2. Step 2: Convert to fraction form
    473.60/708.99 = 352.40/x
  3. Step 3: Cross multiply
    473.60x = 708.99 × 352.40
  4. Step 4: Simplify right side
    473.60x = 249,848.08
  5. Step 5: Solve for x
    x = 249,848.08/473.60
  6. Step 6: Final answer
    x = 527.55

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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.