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Finding the Fourth Proportional to 705.42, 973.58 and 530.46

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Solution

The fourth proportional to 705.42, 973.58 and 530.46 is: 732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.42 : 973.58 = 530.46 : x
  2. Step 2: Convert to fraction form
    705.42/973.58 = 530.46/x
  3. Step 3: Cross multiply
    705.42x = 973.58 × 530.46
  4. Step 4: Simplify right side
    705.42x = 516,442.59
  5. Step 5: Solve for x
    x = 516,442.59/705.42
  6. Step 6: Final answer
    x = 732.11

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