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Finding the Fourth Proportional to 910.01, 1,364 and 362.05

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Solution

The fourth proportional to 910.01, 1,364 and 362.05 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.01 : 1,364 = 362.05 : x
  2. Step 2: Convert to fraction form
    910.01/1,364 = 362.05/x
  3. Step 3: Cross multiply
    910.01x = 1,364 × 362.05
  4. Step 4: Simplify right side
    910.01x = 493,836.20
  5. Step 5: Solve for x
    x = 493,836.20/910.01
  6. Step 6: Final answer
    x = 542.67

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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.