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Finding the Fourth Proportional to 675.42, 930.54 and 509.40

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Solution

The fourth proportional to 675.42, 930.54 and 509.40 is: 701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 930.54 = 509.40 : x
  2. Step 2: Convert to fraction form
    675.42/930.54 = 509.40/x
  3. Step 3: Cross multiply
    675.42x = 930.54 × 509.40
  4. Step 4: Simplify right side
    675.42x = 474,017.08
  5. Step 5: Solve for x
    x = 474,017.08/675.42
  6. Step 6: Final answer
    x = 701.81

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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.