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Finding the Fourth Proportional to 522.14, 780.90 and 464.76

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Solution

The fourth proportional to 522.14, 780.90 and 464.76 is: 695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 780.90 = 464.76 : x
  2. Step 2: Convert to fraction form
    522.14/780.90 = 464.76/x
  3. Step 3: Cross multiply
    522.14x = 780.90 × 464.76
  4. Step 4: Simplify right side
    522.14x = 362,931.08
  5. Step 5: Solve for x
    x = 362,931.08/522.14
  6. Step 6: Final answer
    x = 695.08

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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.