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Finding the Fourth Proportional to 315.12, 432.62 and 307.08

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Solution

The fourth proportional to 315.12, 432.62 and 307.08 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 432.62 = 307.08 : x
  2. Step 2: Convert to fraction form
    315.12/432.62 = 307.08/x
  3. Step 3: Cross multiply
    315.12x = 432.62 × 307.08
  4. Step 4: Simplify right side
    315.12x = 132,848.95
  5. Step 5: Solve for x
    x = 132,848.95/315.12
  6. Step 6: Final answer
    x = 421.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.