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Finding the Fourth Proportional to 618.10, 924.90 and 456.10

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Solution

The fourth proportional to 618.10, 924.90 and 456.10 is: 682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.10 : 924.90 = 456.10 : x
  2. Step 2: Convert to fraction form
    618.10/924.90 = 456.10/x
  3. Step 3: Cross multiply
    618.10x = 924.90 × 456.10
  4. Step 4: Simplify right side
    618.10x = 421,846.89
  5. Step 5: Solve for x
    x = 421,846.89/618.10
  6. Step 6: Final answer
    x = 682.49

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1.5x scale

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.