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Finding the Fourth Proportional to 501.84, 753.03 and 380.07

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Solution

The fourth proportional to 501.84, 753.03 and 380.07 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 753.03 = 380.07 : x
  2. Step 2: Convert to fraction form
    501.84/753.03 = 380.07/x
  3. Step 3: Cross multiply
    501.84x = 753.03 × 380.07
  4. Step 4: Simplify right side
    501.84x = 286,204.11
  5. Step 5: Solve for x
    x = 286,204.11/501.84
  6. Step 6: Final answer
    x = 570.31

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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.