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Finding the Fourth Proportional to 654.92, 904.56 and 478.68

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Solution

The fourth proportional to 654.92, 904.56 and 478.68 is: 661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.92 : 904.56 = 478.68 : x
  2. Step 2: Convert to fraction form
    654.92/904.56 = 478.68/x
  3. Step 3: Cross multiply
    654.92x = 904.56 × 478.68
  4. Step 4: Simplify right side
    654.92x = 432,994.78
  5. Step 5: Solve for x
    x = 432,994.78/654.92
  6. Step 6: Final answer
    x = 661.14

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1.5x scale

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.