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Finding the Fourth Proportional to 315.49, 469.56 and 312.45

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Solution

The fourth proportional to 315.49, 469.56 and 312.45 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.49 : 469.56 = 312.45 : x
  2. Step 2: Convert to fraction form
    315.49/469.56 = 312.45/x
  3. Step 3: Cross multiply
    315.49x = 469.56 × 312.45
  4. Step 4: Simplify right side
    315.49x = 146,714.02
  5. Step 5: Solve for x
    x = 146,714.02/315.49
  6. Step 6: Final answer
    x = 465.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.