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Finding the Fourth Proportional to 583.76, 875.28 and 340.16

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Solution

The fourth proportional to 583.76, 875.28 and 340.16 is: 510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 875.28 = 340.16 : x
  2. Step 2: Convert to fraction form
    583.76/875.28 = 340.16/x
  3. Step 3: Cross multiply
    583.76x = 875.28 × 340.16
  4. Step 4: Simplify right side
    583.76x = 297,735.24
  5. Step 5: Solve for x
    x = 297,735.24/583.76
  6. Step 6: Final answer
    x = 510.03

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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.