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Finding the Fourth Proportional to 561.84, 841.80 and 288

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Solution

The fourth proportional to 561.84, 841.80 and 288 is: 431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 841.80 = 288 : x
  2. Step 2: Convert to fraction form
    561.84/841.80 = 288/x
  3. Step 3: Cross multiply
    561.84x = 841.80 × 288
  4. Step 4: Simplify right side
    561.84x = 242,438.40
  5. Step 5: Solve for x
    x = 242,438.40/561.84
  6. Step 6: Final answer
    x = 431.51

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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.