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Finding the Fourth Proportional to 670.09, 924.02 and 529.98

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Solution

The fourth proportional to 670.09, 924.02 and 529.98 is: 730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.09 : 924.02 = 529.98 : x
  2. Step 2: Convert to fraction form
    670.09/924.02 = 529.98/x
  3. Step 3: Cross multiply
    670.09x = 924.02 × 529.98
  4. Step 4: Simplify right side
    670.09x = 489,712.12
  5. Step 5: Solve for x
    x = 489,712.12/670.09
  6. Step 6: Final answer
    x = 730.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.