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Finding the Fourth Proportional to 529.44, 790.80 and 407.28

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Solution

The fourth proportional to 529.44, 790.80 and 407.28 is: 608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.44 : 790.80 = 407.28 : x
  2. Step 2: Convert to fraction form
    529.44/790.80 = 407.28/x
  3. Step 3: Cross multiply
    529.44x = 790.80 × 407.28
  4. Step 4: Simplify right side
    529.44x = 322,077.02
  5. Step 5: Solve for x
    x = 322,077.02/529.44
  6. Step 6: Final answer
    x = 608.34

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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.