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Finding the Fourth Proportional to 653.16, 978.43 and 306.01

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Solution

The fourth proportional to 653.16, 978.43 and 306.01 is: 458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.16 : 978.43 = 306.01 : x
  2. Step 2: Convert to fraction form
    653.16/978.43 = 306.01/x
  3. Step 3: Cross multiply
    653.16x = 978.43 × 306.01
  4. Step 4: Simplify right side
    653.16x = 299,410.40
  5. Step 5: Solve for x
    x = 299,410.40/653.16
  6. Step 6: Final answer
    x = 458.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.