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Finding the Fourth Proportional to 528.70, 788.95 and 464.70

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Solution

The fourth proportional to 528.70, 788.95 and 464.70 is: 693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.70 : 788.95 = 464.70 : x
  2. Step 2: Convert to fraction form
    528.70/788.95 = 464.70/x
  3. Step 3: Cross multiply
    528.70x = 788.95 × 464.70
  4. Step 4: Simplify right side
    528.70x = 366,625.07
  5. Step 5: Solve for x
    x = 366,625.07/528.70
  6. Step 6: Final answer
    x = 693.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.