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Finding the Fourth Proportional to 904.58, 1,357.20 and 356.46

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Solution

The fourth proportional to 904.58, 1,357.20 and 356.46 is: 534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.58 : 1,357.20 = 356.46 : x
  2. Step 2: Convert to fraction form
    904.58/1,357.20 = 356.46/x
  3. Step 3: Cross multiply
    904.58x = 1,357.20 × 356.46
  4. Step 4: Simplify right side
    904.58x = 483,787.51
  5. Step 5: Solve for x
    x = 483,787.51/904.58
  6. Step 6: Final answer
    x = 534.82

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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.