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Finding the Fourth Proportional to 651.12, 898.24 and 473.64

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Solution

The fourth proportional to 651.12, 898.24 and 473.64 is: 653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.12 : 898.24 = 473.64 : x
  2. Step 2: Convert to fraction form
    651.12/898.24 = 473.64/x
  3. Step 3: Cross multiply
    651.12x = 898.24 × 473.64
  4. Step 4: Simplify right side
    651.12x = 425,442.39
  5. Step 5: Solve for x
    x = 425,442.39/651.12
  6. Step 6: Final answer
    x = 653.40

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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.