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Finding the Fourth Proportional to 670.68, 925.32 and 434.58

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Solution

The fourth proportional to 670.68, 925.32 and 434.58 is: 599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.68 : 925.32 = 434.58 : x
  2. Step 2: Convert to fraction form
    670.68/925.32 = 434.58/x
  3. Step 3: Cross multiply
    670.68x = 925.32 × 434.58
  4. Step 4: Simplify right side
    670.68x = 402,125.57
  5. Step 5: Solve for x
    x = 402,125.57/670.68
  6. Step 6: Final answer
    x = 599.58

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1.5x scale

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.