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Finding the Fourth Proportional to 653.60, 902.16 and 457.18

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Solution

The fourth proportional to 653.60, 902.16 and 457.18 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.60 : 902.16 = 457.18 : x
  2. Step 2: Convert to fraction form
    653.60/902.16 = 457.18/x
  3. Step 3: Cross multiply
    653.60x = 902.16 × 457.18
  4. Step 4: Simplify right side
    653.60x = 412,449.51
  5. Step 5: Solve for x
    x = 412,449.51/653.60
  6. Step 6: Final answer
    x = 631.04

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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.