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Finding the Fourth Proportional to 653.98, 900.39 and 530.05

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Solution

The fourth proportional to 653.98, 900.39 and 530.05 is: 729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 900.39 = 530.05 : x
  2. Step 2: Convert to fraction form
    653.98/900.39 = 530.05/x
  3. Step 3: Cross multiply
    653.98x = 900.39 × 530.05
  4. Step 4: Simplify right side
    653.98x = 477,251.72
  5. Step 5: Solve for x
    x = 477,251.72/653.98
  6. Step 6: Final answer
    x = 729.77

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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.