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Finding the Fourth Proportional to 583.61, 875.14 and 340.21

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Solution

The fourth proportional to 583.61, 875.14 and 340.21 is: 510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 875.14 = 340.21 : x
  2. Step 2: Convert to fraction form
    583.61/875.14 = 340.21/x
  3. Step 3: Cross multiply
    583.61x = 875.14 × 340.21
  4. Step 4: Simplify right side
    583.61x = 297,731.38
  5. Step 5: Solve for x
    x = 297,731.38/583.61
  6. Step 6: Final answer
    x = 510.15

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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.