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Finding the Fourth Proportional to 526.94, 727.13 and 302.90

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Solution

The fourth proportional to 526.94, 727.13 and 302.90 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 727.13 = 302.90 : x
  2. Step 2: Convert to fraction form
    526.94/727.13 = 302.90/x
  3. Step 3: Cross multiply
    526.94x = 727.13 × 302.90
  4. Step 4: Simplify right side
    526.94x = 220,242.53
  5. Step 5: Solve for x
    x = 220,242.53/526.94
  6. Step 6: Final answer
    x = 417.97

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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.