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Finding the Fourth Proportional to 527.94, 728.14 and 350.58

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Solution

The fourth proportional to 527.94, 728.14 and 350.58 is: 483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.94 : 728.14 = 350.58 : x
  2. Step 2: Convert to fraction form
    527.94/728.14 = 350.58/x
  3. Step 3: Cross multiply
    527.94x = 728.14 × 350.58
  4. Step 4: Simplify right side
    527.94x = 255,271.32
  5. Step 5: Solve for x
    x = 255,271.32/527.94
  6. Step 6: Final answer
    x = 483.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.