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Finding the Fourth Proportional to 656.30, 904.85 and 537.84

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Solution

The fourth proportional to 656.30, 904.85 and 537.84 is: 741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.30 : 904.85 = 537.84 : x
  2. Step 2: Convert to fraction form
    656.30/904.85 = 537.84/x
  3. Step 3: Cross multiply
    656.30x = 904.85 × 537.84
  4. Step 4: Simplify right side
    656.30x = 486,661.83
  5. Step 5: Solve for x
    x = 486,661.83/656.30
  6. Step 6: Final answer
    x = 741.53

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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.