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Finding the Fourth Proportional to 477.58, 660.32 and 470.60

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Solution

The fourth proportional to 477.58, 660.32 and 470.60 is: 650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.58 : 660.32 = 470.60 : x
  2. Step 2: Convert to fraction form
    477.58/660.32 = 470.60/x
  3. Step 3: Cross multiply
    477.58x = 660.32 × 470.60
  4. Step 4: Simplify right side
    477.58x = 310,746.59
  5. Step 5: Solve for x
    x = 310,746.59/477.58
  6. Step 6: Final answer
    x = 650.67

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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.