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Finding the Fourth Proportional to 340.47, 509.76 and 291.74

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Solution

The fourth proportional to 340.47, 509.76 and 291.74 is: 436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.47 : 509.76 = 291.74 : x
  2. Step 2: Convert to fraction form
    340.47/509.76 = 291.74/x
  3. Step 3: Cross multiply
    340.47x = 509.76 × 291.74
  4. Step 4: Simplify right side
    340.47x = 148,714.83
  5. Step 5: Solve for x
    x = 148,714.83/340.47
  6. Step 6: Final answer
    x = 436.79

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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.