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Finding the Fourth Proportional to 522.60, 785.10 and 368.88

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Solution

The fourth proportional to 522.60, 785.10 and 368.88 is: 554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 785.10 = 368.88 : x
  2. Step 2: Convert to fraction form
    522.60/785.10 = 368.88/x
  3. Step 3: Cross multiply
    522.60x = 785.10 × 368.88
  4. Step 4: Simplify right side
    522.60x = 289,607.69
  5. Step 5: Solve for x
    x = 289,607.69/522.60
  6. Step 6: Final answer
    x = 554.17

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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.