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Finding the Fourth Proportional to 375.70, 565.52 and 289.50

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Solution

The fourth proportional to 375.70, 565.52 and 289.50 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.70 : 565.52 = 289.50 : x
  2. Step 2: Convert to fraction form
    375.70/565.52 = 289.50/x
  3. Step 3: Cross multiply
    375.70x = 565.52 × 289.50
  4. Step 4: Simplify right side
    375.70x = 163,718.04
  5. Step 5: Solve for x
    x = 163,718.04/375.70
  6. Step 6: Final answer
    x = 435.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.