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Finding the Fourth Proportional to 464.48, 696.16 and 310.40

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Solution

The fourth proportional to 464.48, 696.16 and 310.40 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 696.16 = 310.40 : x
  2. Step 2: Convert to fraction form
    464.48/696.16 = 310.40/x
  3. Step 3: Cross multiply
    464.48x = 696.16 × 310.40
  4. Step 4: Simplify right side
    464.48x = 216,088.06
  5. Step 5: Solve for x
    x = 216,088.06/464.48
  6. Step 6: Final answer
    x = 465.23

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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.