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Finding the Fourth Proportional to 691.58, 954.34 and 429.59

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Solution

The fourth proportional to 691.58, 954.34 and 429.59 is: 592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.58 : 954.34 = 429.59 : x
  2. Step 2: Convert to fraction form
    691.58/954.34 = 429.59/x
  3. Step 3: Cross multiply
    691.58x = 954.34 × 429.59
  4. Step 4: Simplify right side
    691.58x = 409,969.07
  5. Step 5: Solve for x
    x = 409,969.07/691.58
  6. Step 6: Final answer
    x = 592.80

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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.